{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7e37c347",
   "metadata": {},
   "source": [
    "# 3.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4d804761",
   "metadata": {},
   "outputs": [],
   "source": [
    "from draw3d import *\n",
    "from draw2d import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a1f6dc04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "007ee7c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw3d(\n",
    "    Points3D((2,2,2),(1,-2,-2)),\n",
    "    Arrow3D((2,2,2)),\n",
    "    Arrow3D((1,-2,-2)),\n",
    "    Segment3D((2,2,2), (1,-2,-2))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "69bea39c",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习3.1\n",
    "origin = (0, 0, 0)\n",
    "point = (-1, -2, 2)\n",
    "draw3d(\n",
    "    Points3D(origin, point),\n",
    "    Arrow3D(point),\n",
    "    Box3D(*point)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c371fef9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习3.2\n",
    "pm1=[1, -1]\n",
    "vertices = [(x, y, z) for x in pm1 for y in pm1 for z in pm1]\n",
    "edges = [((-1, y, z), (1, y, z)) for y in pm1 for z in pm1] +\\\n",
    "        [((x, -1, z), (x, 1, z)) for x in pm1 for z in pm1] +\\\n",
    "        [((x, y, -1), (x, y, 1)) for x in pm1 for y in pm1]\n",
    "\n",
    "draw3d(\n",
    "    Points3D(*vertices),\n",
    "    *[Segment3D(*edge) for edge in edges],\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "acbc2c79",
   "metadata": {},
   "outputs": [],
   "source": [
    "def add(*vectors):\n",
    "    by_coordinate = zip(*vectors)\n",
    "    coodinate_sums = [sum(coords) for coords in by_coordinate]\n",
    "    return tuple(coodinate_sums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8775a587",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 0, 4)\n"
     ]
    },
    {
     "data": {
      "image/png": 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tUoBmiixyVSMIFOEo9Og6QOlwOOgZF9cBSlLD8jQvtFqRibc13ZEL+Z/ZbHZyoeTJxTd4MllFUBRFn4jEYjEr3Vqk4J2SkoLq6uplMwZcRCZM8iLui2q12uvfBENowfyNTCZDWloa0tLSlin4jo2NweFwOBXzIyMjA14jVKx0q26wUYJQKHSKAu12O92GPDY2hs7OTo8DlKs12xIIgTGzAa5eLmaz2SlyIcV8tp7bcwE8mawSSFFwdHQUk5OTqK2tDTmt1dPTg9HRUZSUlCA9Pd3t77EdmajVaiiVSiQlJTmRF9ukxYY8i0CwXMGX1AjUajX6+/shFoshl8thtVphNBpD1sEKR7BFXiKRyGmAkqQY5+bmMDQ0BJ1ORw+jWiyWFU/nBUomrvBGLrwL5XLwZLIKIDlacrOHemojcxwOhwMNDQ1eT9dsbfIURaG/vx+Dg4NONRnmOmyD7c3IXY1gcXERo6Oj0Ov1OH78OGQymVOnGBdzOWvJz8QbXFOMzAFKk8mEzs5OjI2NrVj9yuFwsNp84S+5mEwmREZGQi6Xf6bIhSeTFQSRRCHdWkKhECKRKKTNnciTpKeno6CgwOfDyUZkYjab0dLSAqPRuKwmQ7AWVYOJ9DvJl1dUVNCb4fDwMNrb20Pyeg8nrMTnyRygnJ+fR3Z2NgBgbm4O3d3dMJvNiImJoT/PmJgYVskl1MjEFzyRi1KpREFBAa3c8FmxOF6bT8IahCdJFE+S8L5gt9vR1dWFyclJlJaWIi0tza+/C3Y9Ao1GA6VSifj4eFRWVnrcTLkgk5VOk7g7aZN6S09Pj9NmmJCQgJiYmKA2r3Dp5uISDoeDLtaTe5VZv5qYmGB9gJJrMnEFs1tSKpVCLBbT7f5ms/mcd6HkyWQFwIxGXFt+g9ncdTodlEolhEJhQL7sQPCbMkVRGBgYwMDAAAoKCpCZmen1AeBi819toUdXr3fmZtja2gqHw4HY2Fg6LRbIwN+5kObyBnepXIVCAYVCgfT0dLcOlKEOUK40mTDXdWf45cmF0rWgz8Z82WqAJxMO4c/sSKBkMj4+jo6ODmRlZWHjxo0BPyzB1EwsFgtaWlqg1+uxZcsWxMbG+rXOWktzBQrXzVCv12Nubo6ecWF2PxFTK3fv47MQmfhqDeZigHI1yISQhbt0nTvRSqYaOPn5WnWh5MmEI7ja6Xq6qf2tmdhsNnR0dGB2dhabN2+mRREDhVAopFNt/mBubg5KpRKxsbFoaGjwu6Dpi0yCnaIOVwgEAkRFRSEqKgqZmZn0wJ9Go8H09DR6enq8mlqtdGSyGjMfgbxHfwcomZGLK1mvBpn4et6Z8EQu7ozC3n33XZSUlKCwsJDT6w8FPJmwjEDtdP2JTLRaLZqbmyGVSrFt27aQtKf8jUwoisLQ0BD6+vqwceNGZGdnB7wZnOuRiTcwB/5yc3OdZjJcPVzMZnNABB8qwjEy8QVvA5SErKVSqRNZ++uhwibIsxXMut7I5amnnsL999/Pk8lnBcH4jnjb3CmKwujoKLq7u5GTk4MNGzaEvAn4081ltVrR2tqKxcVF1NbWIi4uLuB1zsWaSShwncmwWq10CsdgMKCvrw8zMzN0MZ9LafjVGiBkc013A5SEXIhGGwBMTEyAoijO2rpdwXz2QwWTXPR6/aoM1AYCnkxYQrB2uiTN5XpatFqtaG9vx9zcHKqqquhNKFT4ioQWFhbQ3NyMqKiokPxOCJl404EK9PXOJUgkErpt1mAwICEhAVKpdJk0PCnms+nhshpzLVyn1kQiERISEpCQkABgKS184sQJiEQiuq2b6eYZFxfHiQBosHba3kDqce5a8MMJPJmEiFDtdJkhLfk7sqFHRkaioaGBNV92wHPEwLTx3bBhA3JyckJ6INbC0GI4QSqVLvNwIcX84eFhAGBFvRdYHTIB2Dmt+wvSsp6ZmYm4uDinAcr+/n4YDIZlbp5szAxxlVojdszhDJ5MQgAbdrrkASNpAFKnYGND97Sea2RitVrR1taG+fl51mx8yXW727gcDgcGBgZgMpnok7evB/lci0yYcCVJ184mh8MBnU4HjUZDF58lEgm9EXoTWPSE1SCT1dTmcnWgZAqAsjlA6apUzBYMBgOf5jpXwZadLrnxTCYTuru7odVqg65T+APXyGRxcRHNzc2IiIjAtm3bWMsrM8mECaYoZGxsrJPnO0lTeBr+O5cjE19NGsTDJScnZ1l9gCmwmJCQ4DOFsxrCksDqkokrmAKggPsBSuZAqr8DlJ7agkN9H3xkcg7CdXYk1PwouUFPnjyJ+Ph4bNu2jVMzJ1LwZxb38/LykJeXx+rD7o5MyPR8YmIiNm/eTKcETCYT7flOhv9clXw/S5GJL7jWB6xWK53CGRgYoPPr5POLjY1dZm17rqe5gMBag70NUDLVpUkrsqcaFhdpLr1eDwB8zeRcguvsSKjDRGSqHACysrKQn5/P+UNO0lwtLS3QaDSsFveZYJIJs82YTM/b7Xb6c5TL5UhPT6cfZHdKvjKZjJYCZ7OGFC4I5XuXSCRITk6mZ49ICkej0aCzsxNWqxUxMTE0uax0N9dqRCahFP3dDVCSgVSiiCwQCJxmXMiBh4s0l8FgAAA+zXUugDk74k4SJRgwxRKFQiFSU1NX5GEzm81YXFykpVi42pjJeyH1mIWFBb+m512H1Ygt7/DwMBYXF3HkyBFERkbSG+NaFlskYDt9587DhUR+IyMjtJQHaZnlOvIj5LUaBMZWi67rQKrrgYc4frprqAkVer0eEokk7A9Ra/spXAG4FtnZeChUKhVaWlqQmJiIyspKfPTRR5z7sgPA2NgYent7IRaLQ/ZP8QXy2qdOnaK70oKpx5CHVK/XQyAQoLi4mD519/b2wmQy0afucHJODBRcfRcCwVkPF3LKPn36NORyuVPkxyzmhzIU6w6rNXEPcJNaY9awsrOzaeuCubk5TE1NwWg04ujRo8vsjYMF8YUJ91QvTyZeEOzsiLfXI9a2RUVFyMjIoIeSuCQTIsWiUqmQn5+PyclJzm/MiYkJAEBqaioKCgpCXo/8PXM+A4DTqXt0dJQ+bZPIJdgW2pUs9q/kWkSeIykpCevWrXNrxSuXy52K+aE2ZazWkCSwMnUaYl0QFxcHgUAAnU6H9PR0pwFK8pkG44tDyCTcwZOJG4Q6O+IORqMRSqUSNpuNtrYl4JJMdDodmpubIZFI0NDQAJ1OR2/0XMBut6OzsxPT09MAELAMiyd4mo9RKBTIyMignRNd9ZskEglNLGQwMByx0vUEsp7rJDnTLXFwcJDuImKmFQMtMK+mFthqrCsWi5cNULr64gQyQEnagvnIZI2BjdkRVxBf9tTUVBQVFS17GLkik4mJCbS3tzspDBsMBs6Iy2AwoLm5GQKBAA0NDTh8+LDHUzcX0YJAIHBKP5AWWo1Gg5GREXR0dIS8MXKBcFIN9uThotFonOYxyGfoj4fLakner0a6010B3vUzZUrp+DNAuRakVACeTJxgt9sxMTGBiIgIVk4CDocD3d3dGB8fR0lJCdatW+f290J1W3QFMzpwVRjmQjMLOEuY69atQ2FhIU3CbK0VzHfh2kLL3Bi7urroWRdmvWW1Tn+rFZn4gjsPF5JWZLbMevMcWS313tXyMvHVEOKaqnU3QBkdHY2YmBj09PRAo9Gs6IzJz372MzzyyCP41re+hWeffdbvv+PJBM6zIwMDA8jKygr5y9Pr9VAqlQCA+vr6FfFlJ+s2NzdDJBKhoaEBCoXC6edsR0EURaG3txfDw8MoKSlBeno6/TO2iSvU12JujO66nADQ0/gr0RCxmgiWvFzTinq9nv4MXT1cEhISoFAoVq1mslqRSaBdV54GKDs6OnD//fdjcXER8fHx+PGPf4xLLrkEtbW1nKVrT506hT/84Q8oLy8P+G8/82TicDhgs9notBYbUcLk5CTa29uRkZGBgoICnzc1Wxs8WXf9+vXYtGmT23XZ3OAtFguUSiVMJpNbL3hva6220KNrl5Or/4jBYMDRo0fpqCU+Pp6zYdLVGCJkq45FWmaJ5wjpamJ6uCgUCtjtdlgslhWrWYVTmitQMAco+/v78eSTT+LDDz9Ea2srfvOb38BoNKK9vR3Z2dksXfUSdDodbr75Zrz00kv4yU9+EvDff2bJxNPsiEgkCtpbgpleKi8vp8NYXwiVwBwOB7q6ujAxMYGysjI6JeEObBHX3NwcmpubvXrBh1tk4g1Mv4yIiAiMjIwgLy+Pdk1sa2vzOlW+lsAVeTG7mpgeLuPj47Barfjkk09WbEZotS172YJQKIRIJEJ5eTleeeUVOBwOug7KNu677z5ceeWVuOyyy3gy8Rfe7HQDdSIkIF1TYrHYbXrJG0LZ4EnRG4BffvChbvAURWF4eBi9vb0+TbN8rRXIhrbSaRKBQODkP8KcKu/o6HCSiE9ISAjYn5yJtRqZ+ALxcCHOgeXl5ctmhFwJmi0C4EpwcTXWZRbghUIhysrKWH19AHj99dfR2NiIU6dOBf0anzkyYc6OuGsdDDRKoCiKFtvLzs7Ghg0bAr6ZgiWT6elptLa2Ij09nS56c7UWsNTi2NbWhrm5Ob/UhddSZOILrlPlBoOBrhUMDQ3RtQJCLmwP/rGJ1ZBTEQgEywrPTE02Iq5IivmhEvRqprnYjlgNBoPfWY5gMDo6im9961t49913Q7pvPzNk4u/sSCBpLpvNhvb2dqjValRWVtKtf4Ei0A2e2SVWWlpKF+78gTdpeG/Q6XRoamqCTCbzW4Zltbu5uAJTu4nIaywuLkKj0TgN/hFi8UfFdyWxGpGQu43dVZPNnf6VazHf3+s+V9JcwNKzl5eXx+prMnHmzBnMzMygurqa/je73Y7Dhw/jhRdegNls9us9fSbIJJDZEX/TXES6XaFQYNu2bSHp5gRCJkajEc3NzXA4HD67xDytBQR2009OTqKtrQ3Z2dnYuHFjQBtRsBtlV1cXHA4HNm7cSG/EK7XpBuNJQ2oFwNkhNY1Gs0xi310651xNcxH4s7G7078iA6gzMzPo7e2lPd7J5+jtmVvLBXhXcO1lcumll6K1tdXp3+644w4UFhbiwQcf9HufOOfJxOFwwGKx+D3JLhKJ6FqKOzAdCdmSbveXwMgsR1paGgoLC4M6AXnyGXEHUtifnJxERUVFwKG2P37zntDQ0ACbzYbu7m6sW7curCITX3AdUjOZTHStgKRzmCfuz0JkEgxBk4YIVw+X0dFRdHR0ICIiwqmYz4z+zqU0l06n43TOJDo6GqWlpU7/FhkZicTExGX/7g3nLJmQtBbp1vJ3kt1bmovpSFhdXU0Pw4UKX5GJw+FAb28vRkZGls1yBLMWeU1vIBEQRVGor6/3Wdj3hGA3SnKdzO9irZpjyeVyJ0te5mzGwMAAHA4HhoeHaedJrtVhwzEy8QXmAGp+fj7t4eIa/RGSttls50yay2AwhL0xFnCOkkkokiieNva5uTkolUpER0ez6khI1vQUDRFnQqvVukzTKxj4E5moVCoolUqP8i/+IpTIhKy5Wi59XMHdbMaRI0cglUqdXBOZ9RYu2mdXowDPJtx5uBCC7uzshNlshlQqxdDQ0IqpG5ADLJfdXCuFQ4cOBfw35xyZMKORYOTiXSMTiqIwODiI/v5+n62wwcITgZFNPSUlBcXFxayceMi1u1uPoij09/djcHAQRUVFWL9+fcjrhRqZMK9zrUYm3iAUCiEUCpGRkYHY2FinE7erxL6/Wli+EC4FeDYhk8mcor+uri4YjUZotVpa3YDZKRasmrQ3kPuTzciERLLh7rIInENk4m12JBAwycRsNqO1tRV6vd4vY6dg4UomFEWhr68PQ0NDrG3qBORzcd2YLRYLWlpaYDAYsHXrVsTExIS8lqfIhDhMzs7O0g+36ybpmuY6VyITd2Bu7q4nbiKtodFoaC0sZr0lmE1xNdJcK7keGT6OiYnBhg0bnNSkVSqVk4cLIWk2WrmZKhpsgk9zrSBc7XRDOQWRYrharUZLSwvi4+PR0NDAqS87k0zMZjOUSiXMZrNbiRK21wOAhYUFNDU1ISYmBvX19ay+V1cysVqtaGlpgU6nw/r167G4uEj7vjPnNFwjE64EKsMdrt7kOp0OGo2G3hQlEonT5+ZP+vVcjExcwRRcdFWTJh4uGo3GyW+EEEuw0jnMtDqb4FWDVwBMSRS2fEeEQiGMRiMaGxtpv3KuHzyyuavVaiiVSiQmJqKqqoozqQmyMVMUhdHRUXR3dyM/Px+5ubmsvldXAtBqtWhqakJkZCTq6upAURQyMzOdNsnZ2Vn09vbSJDI7O4ucnBzWrikc4S9JCgRnLY1dJfZJhxORKyH1FtdTMvneVzoyWWnpGW9Ff08eLq7SOUy/EX+un609iAm73Q6j0chHJlyCC98Rk8mE3t5e2Gw2NDQ0rFieUiAQQK/Xo7GxEYWFhVi/fj2nD7tQKITVakVraytUKhWqqqpo2RA2wSQT4q2Sm5uL/Px8UBQFi8VC/57rJklOhqOjozCbzVAoFLBYLJifn2elbhBuYEtin2yKRMqcSL6Qegv5Pj4LkYm/a7q2cruThI+NjaUjQE/W0FwU33U6HQDwNROuwLadLrB0Am5paUFsbCztJ7ASsFgsGB4eptNabNQqfIGiKLS2tkIul6OhoYEz6Q8ird/Z2Ynx8XEnbxVvp3GRSERHZaWlpdiwYQNGR0cxNjbmNiUWbNtyuICt9J1UKnWSKzEYDHS9hVmEBpYOTlKpdEVIZa1J0LtK55C6lauHCyFp4n3EVVswAD4yYRtc2OkyZziKi4sRExODEydOsHTF3kGUdxUKBSIjI1eESKampmC1WpGYmIjy8nJOT4yk0E68VQLZ9JkFeJlMhqSkJMzMzKC+vn5ZSkwmk62IVDyX4GKzJRL7TEtjlUoFlUqFxsZGyGQypyI0V/LwqxGZsBUlMK0KyOeo0+loku7v74dIJKIn8tn+HvV6PWQyGWcpbzYR/lf4KbhIaxkMBiiVSlqaJCoqCgaDIWgJen/BbDfetGkTFAoFenp6OF3T4XCgp6cHY2NjkEqlyMzM5PQBn5ubw8LCAmJiYrBly5aAT2yucybA2cKxa0qMme9ub2+npUsSExM9piTCCSvRWECK0AqFAkNDQ2hoaKBJmfiSE0vjhIQEViX211pk4g3M+4/p4aLRaDAzMwOTyUT74JCaSygkrdPp1oT/O7BGyITMjrBZ4JqamkJbWxvS09NRUFBAPziknZWrm9FisaC1tRU6nY5uN1ar1Zw6+7kOPjY1NXG2HrOoHxERgfT09KA2JXfdXO5AZM5JzYco0ZJOnbWSElupzYIQl1gsdvrcLBaL09Cf1Wp1qreEMvQX7jWTUMDUZYuIiMDY2Bhyc3OXkTSzmB9IlLFWOrmAMCcT19kRNojEbreju7sbExMTbhV3mSditm/G+fl5NDc3IyYmxqndmG0rXSY0Gg2am5uRlJSEmpoaiEQiztps7XY7raJcU1ODgYGBoF8rWDkVVyVanU4HtVpNiwXKZDIkJib6pea7UliNlmfX50gqlS6T2CepHKbEPlPB11+cS5GJrzVdDzcWi4Wut/T09MBsNiMmJob+LH15uBAy4SOTEOA6OxLsECITxB9dKBR6zOETMrHb7azlKZmGUhs2bEBOTo7Te+GCTJipNNcOMS7WIyZdQqEQ9fX1kMvlIZGWv5GJNzBTEkQskJnrNhqN9HS5ty6dlcBKRybe1mNK7LtaGk9NTaGnpyeguYxzOTJhwp3Io1QqRWpqKu1+yizmj4+Pw263OxXzXT1c+MgkBJAU09TUFMbGxlBRUcHKgzY+Po6Ojg5kZmZ69EcHzj5kbNVNiDjkwsKCR0OpYN0dva3Z2tqKxcVFt5P7pPOELZBOuHXr1jmZdLFBJsy/D/UELxKJlqn5kpTY2NgYKIqiN0Yu046uWMnIJBhyZir45ubmepzLYNZbmM/XakUmqzHb4mtN1yFU4uFCPktm2mxxcRFarZbTTq7du3dj9+7dGBoaAgCUlJTgsccew65duwJ+rbAiE2aR3W63Q6fThXwT2mw2dHZ2YmZmxqk11ROIFAMbm8nCwgKam5sRFRWFhoYGj4U4NiMF4rMSERHhcc1QBBiZIN1aAwMDKC4uRkZGhtPPQ/nuVkJOxTUlRk7f09PT0Ov1OHbsmFOXGJcdNSsZmYS6lru5DFJvaW9vpx0Tyee2WimncO8g8+ThotFooFQqceuttyIuLg5RUVF47bXXcOmllwZkhOcP1q9fj5///OfYsGEDAODVV1/FF7/4RTQ1NaGkpCSg1wobMnGdHZFIJF59RfyBVqtFc3MzpFIptm3b5vc8RSBui+7A9DzxZ7KcbO6hPuhjY2Po7OykBwO9ebOHSl4k+tFqtR61vEJZx1M3F1dgSm5ERERgeHiYLqSGW0osFHAx/e4qsuh62nY4HBgbG4PNZlsxS+NwSXMFAtcIcHh4GE888QQOHz6MX//617j11ltRWFiIDz74gE6bhYrPf/7zTv/905/+FLt378bx48fXHpl4mh0Ri8VBb+jMjqKcnBzk5+cHdGOx5ZPur+dJMO6HTNjtdnR2dmJ6etov++BQIxMiixIREYH6+nqPEZevTcsXwQKrJ/QoEAg8psRGR0cBwKlLLJCCtCtWUt6E67XcnbaPHz8OmUyGiYkJdHd3Q6FQONVbuIj4VisaYvO9REdH0806f/rTn6DRaHD48GHO/ODtdjv+8Y9/QK/Xo76+PuC/X1Uy8TY7Emx0YLVa0d7ejrm5uaBlQoJdm2nl669POhAamZDCt0AgQENDg1+bWihkSSx8c3JysGHDBp+FXG/reCsGh5sEvbeUGLMgHWhK7Fx3WSTPdHp6Om1a5doEway3sCGV43A4Vm1Qku3BT2YBPiEhAV/60pdYfX0AaG1tRX19PUwmE6KiovCvf/0LxcXFAb/OqpGJr9kRUrcI5IRBahSkXhCsY12gZEJRFMbGxtDV1eUzxeRpPcC3+6ErZmZm0NLSgvT0dKfCty8EUxhnDj36a+EbyqYVzuZYzJRYTk6OW8/3QFNi50pk4g7MArxYLHaS2CcR39zcHC2VQ+otoUjsA+yr9/oCV3Iq69atY/U1XVFQUIDm5mbMz8/jn//8J2677TZ89NFHARPKqpAJmR/xNoRITnb+FLWYrbdsqN8G0l1ls9nQ0dERkmCiN8Mqd6AoCr29vRgeHkZpaWnAN1ugtQwii2+xWFBfX+93q2IoNRN3aa5wlaB35/nub0rsXI9MyJqenmF3c0Fzc3NQq9W07wiJ9vy1NGbDiiIYcOH/rtfrOdflkkqldAG+pqYGp06dwnPPPYff//73Ab3OqpCJQCCg8/beJpsBOCnIugOZKNdqtR5bbwOFv91cpMAvk8lCEkwkMzT+rGk2m9HS0gKTyRS0jW8gNZP5+Xk0NTUhPj4+YFl8Nrq5VrJFly0EkhIjbdsrbR61kvC3NdhVqsRut9NSJaS5hEjse5smX00y4cLLZKVFHimKgtlsDvjvVi3N5WsIkRCOtwiB+LKTIhVb+Up/0lxkbiWYAr+nNX1tnEQYMj4+HpWVlUEX+/whLmYTQ7B2xWzOmYRzZOIN/qTEAGBkZATJycmIiYnhdLNfjZmPYOsXREAxPj4e+fn5sFqtdL3F1dKYmU602+2sDDkHCi7SXFyTySOPPIJdu3YhMzMTWq0Wr7/+Og4dOoT9+/cH/Fqr3s3lDSKRyG17MHO+YdOmTcjKymL1xvFWoLbb7ejo6PB7boWNNZlpPDber6/IhLzH2dlZvzvS3MEbAfi6fndyKucCXFNier0eJ06coEVHAfa6xNxhtWsmoUAikThJ7BuNRrreQtKJcXFxtPzISr/XtRiZTE9P4ytf+QomJycRGxuL8vJy7N+/H9u3bw/4tVY1MvEFdxECSfMYjUbOfNk9RSY6nQ7Nzc0Qi8UBza34A09kwmw1ZiuN5y0yMRqNaGpqorvDQnmP3tYh+k8KhcLtac5dAX4lI5OVWot8vkVFRRCLxax1iXnCalj2ctVZpVAokJGR4SSxT6wJHA6Hk3qvv5bGoYCrmgmXcip79uxh7bXCOjJxnTVRqVRoaWlBYmJiSGkeX3BHJsQpMCsrCxs3bmT94XBHJqQmI5fLsW3bNtYeBk/pQ5VKBaVSibS0NBQVFYX8Hj0RgM1mQ0tLC2ZmZiAWi92exD1FJqtxsuYSzDReoF1iwaTEVoNMAO7rF8zPLi4uDm1tbSgqKqKNwTo6OmiJ/UCseAMB22kuMgC6FlwWgTAnE7KpOxwO9PX1YXh4GEVFRcjIyOD0gWBu7Ha7HV1dXZiamvK7JTbUNYGz5JWdnY2NGzeynsazWq30fzNFIYuKirB+/XpW1nFHJsSemBCkyWTC3NwcLSBIBtoIiYRja/BKwTUlRkQCQxmcXC0yWck1yabuamlMPruuri5YLBZaYp/UW9hQJGebNA0GQ9jaJrgi7NNcBoMBJ0+ehM1mQ11d3YqwtEgkgtlshl6vh1KpDGggMFgQMnE4HOjq6sLk5CRn5MXc5G02G1pbW7GwsMB62tCVTMhczPr167Fx40bYbDZIpVLExsbSJ3HSFmoymQAAAwMDGBkZofPG53Jk4gtMkUCH0YiFnh7My2RORMx0TnQXua/057cahwF3s2lM9V5ixUvqLcTSOJRaFRGo5SLNxUcmLMBut6O/vx/r1q1DUVHRiqmACoVC6HQ6HDt2DBkZGSgoKOA8TBcKhTAajThx4gQoikJ9fT1nJxJSy9DpdGhqaqK94NnOKRMyYTZMlJSU0C2zrmAOtJHaUGRkJObm5mhvlK6uLtqPJBy8SFYLur++Bv0f/gCJUIiMzExkFxTAtj4DuuRkDEZHo00iQcynJ2/iOLkaRenVGCD0NegsEJy14nWV2Ce1qkCtoMl9zuYeZbPZYDab14T/OxCmZOJwONDd3Y3FxUWkpqaitLR0RddWqVRYWFhARUUF6yqdnmC329Hb27sixEmI69ixY5yk0QgEAgHsdjuam5uxsLDgURDS0zUCS905FRUVtB2qWCzG0NAQ2tvb6frBWrHndYdgC/2STRuX/h+HA7bhYdg+TXvJHQ6kAxBER4PKzoYpPR19CfGwpKcjqrAQIrk87CXv2VgzUC0+V4n9hYUFtxL7xNDK9flkSkKxBZ1OBwB8ZBIsiNYUAKSmpq6oMQxpzzSbzYiLi1sRIqEoCv39/dBqtUhPT+ecOB0OB2ZnZ7GwsIDNmzezpj7qDlarFWq1Oqg5IPKwko2P/Hd+fj6dhtRoNFCr1RgbGwOwlKYgUctKKNOyiUA3W1ltLSASAaRBwaV5g9JqgbY2yDs7If/0dyiRCGPPPA2jyYTjx4/TJ+9ArWQDAWkLDmcycYWrpbHZbKbrLR0dHbDZbE71lqioKJo02TwE6vV6AODNsXzB3c01OTmJ9vZ2OrXU3d0dsgy9v5iZmUFrayvWrVuHmJgYjI+Pc76mxWJBS0sLDAYD3Z3D9XrNzc3Q6/WIi4vjlEhmZ2cxPDwMuVyOmpqagB9ub91cwHLZc61WC7VajcnJSVqZlmnPu9JGSf4i6KHOiAjIqiphPn0G8PAaDgCz0XaMJQkwkgScqovDZuFxXBR3ETIzM52G/2SR0UhPSWKtGE2wWi6LbH7fMplsmaUxqbcQS2PSWWc2m1k7yOj1eo+t8+GIsIhMmBLqZWVl9CYnFouDGusPBETAcHR0lNa5mpqa4lzGY2FhAU1NTYiJiUF9fT3a29s5XZOsFxsbi7y8PMzMzHCyDrMzLC0tDTabLejpZ8C/NAmzLTQ3N9dpUrqrqwtWq5UWD0xMTAxKPJBrBHM98vMvgPn0GTgEwHQcMJYkwGjS0v8dThFgMgGwiZmvu4AU0wSEcqGT2GLbqBo3/rkdCfJRXJw+gupkIDctgT55h7I5nmv+7wLBWUtjIrG/uLiIqakpUBSFY8eOOc0GxcXFBV3b0+l0a8b/HQgDMmEOArp2TIVqUuULRqMRSqUSdrsdDQ0NdDjJ5bpMmRKmHzwXvuwEo6Oj6OrqotebmJjgJG9OBizn5+exZcsWLCwsYHZ2NqjX8hWZeANzUpp5klSr1RgYGIBEIqGJxZ/iKpcI5ntwGAwwnzqFPeq3cOQuIabiAbtoacMROpZezyFcvgHJRXLcnXs3jPNGp3/ftC4OYqEAGhOFNweANweA0lQ9tiTrsCmiGwnRiqBTYue6/zux2RUIBFCr1di6deuy2SDXeou/16bX69dMWzCwymRCxNuys7OxYcOGZR+yJzkVNkB8y1NTU5cVvNn2ZCcgCsNqtXqZTAkXZOJwONDR0YHp6WknRWMu1jIYDGhsbIRUKqXrI4uLiyFrc4VawHU9SdrtdiwsLECtVmNwcBDt7e2Ijo6mU2Jca2N5u05vsI2OwvjJEZiOHIG5sRGwWtH+XxEYT3L+O3ckAgACCHBn0Z1QCBUwCUxOP5OKRdhemIT9HbMg31b7jBmt04BEKEZ9tgx1RiNyZntgs5gDms841yITTyDT7+4UpEmUPDExAZvNRuuNJSQkeI08iJQKH5n4gM1mw/DwsFdnQC4iBOYApDvfcrIu25utXq9HU1MTJBIJ6uvrl6UO2N7gjUYj3cjgGvGxLU1CiDk9Pd2pjdrXOt5+7olMQr1u12E2d3LxkZGRsFqtMJvNQXvi+AtPrbqU1QpzYxNMRz6B6chR2EZGAIkEsuoqxH7zm1Bsa8CTCWLcvO86mAQ2wMeGEyuNxdV5V2NmYsbtepcUJGFfx9ko8tMAB1YHhSPDWhweBCKlImwvSMW2GClEi4v0fAb5PN2lxFbLpCpcoiG5XL7M0pjUWwYGBpYpQDDvN66lVNjGqpGJRCLBtm3bvP5OKNa97mAymaBUKmG1Wr3Kt7NNYlNTU2hra0NmZqZHKRY211Sr1VAqlUhJSUFxcfGy9dgiLmZ9xB0xs6EazLXQo6tc/OLiIkZHR6HVanHkyBFa8jwxMdFtSyibsM/OwnTkCIxHjsB88hQogwGilBTIt21D7Dfvh6y2FkJG2mMdgO8n3owfz/3Z52vfWXQn5GK5R/I6Lz8eYqEANsfy78v+6a2it9jxf+0qvNUKXLwpEc9efR49n8FsfGCmxFYrMlnporU/ulxMS+OsrCw4HA66BXl8fBydnZ2IiIhAbGwsWlpaMD8/z+mMyc9+9jO8+eab6Orqot1hf/GLX6CgoCCo11vVNJevzYaLDTYpKQnV1dVe875spbmY7oTMxgJPazIlToIBRVEYGhpCX1+fV1kUNiIT1/qIu8l5tiXomf/NBQQCAWJjY2GxWGA0GrF582Z6Ir+zs5Mu5JOUWKiFfMpuh6W1DYn7D2B6z59g7e4GhEJIy8oQffttkG/bBomPGaCd2/4LH//8z/iomALlIcWVrEjGF3K/sLSmBzKJkolRmx2LE0PzcMMnNAixXLghwe18hqtEfEREBGw2GxYXF1ntEvMGh8Ox4nWwYKIhoVBIp7yApVb6+fl5dHR04IknnsDU1BTi4+Pxox/9CNu3b0dtbS2r7+ujjz7Cfffdh9raWthsNvzwhz/E5Zdfjo6OjqAiolUvwHsDGzUTiqLQ19eHoaEhv3W9RCIRPdEa7M3vGgX5+nJCjRb82dzZWstgMKCpqQlisRj19fUeU0GhkEmwVsZswl0hX61W0y6AEomEJhZ/C/mOhQWYTpyA6ZMjMB07Bsf8PGIjIiA+/3xE33IzZHV1EMXF+X2NAqkU9aICfIQugALg5nb9WvHXIBEuXZu3e/qywiQcH5z3vh6AJz+3CV+qWD6D5WrJazQaMTw8jJmZGTQ3N0MgEDildLiaBVqNmgkb0ZBEIkFycjIuvPBCdHZ24kc/+hE++ugjdHZ24vnnn4fVasXg4GDQlhCucPUsefnll5GSkoIzZ87gggsuCPj1wjoyCTXNxZSrD0TXi+nyGMwwFzMKqqmp8esmC2WDD1QWJZRNnigLr1u3zqfvPJtprpWITLyBWcgnLoCka2dgYMBJ0ddVvsTa1wfTkaMwHfkElpZWwOGAZONGRF71JaC6Gk16PS665JKAr8lit+B37b/D60XdKNTGoidaBwfO3kMCCJARmYEdWTvof/NGJhdvTMSP9/W5f/9YKsv8/IuF2FXin14c0QrT6/WorKz0mRJja3BytQrwbK9JURQqKirwxz/+EQ6HA+3t7awRiTssLCwAQNBrhH1kEiyZaDQaKJXKoFwJgyUTZg2hsLAQ69ev9zuyCZZMpqen0dra6rUew8Za/qbQmGCDTFyvM1zcFkUiET0lvXHjRrqQr1arMdbXB0VfH+IHBiFrawNUKggUCsi21CLuoYeg2NYA0acCnnq9HoLTpwNef0Q7gsdPPY7+hX7cX3Y/rt9wPd7oewPPtz5P/w4FCveU3gOR4OxhxhuZJEfLUJwWhY4p3bKfUQAevjzfbyIhIDUTf1JibKn4rmY3F5tgGmMJhUKUlZWx+vpMUBSFBx54AOedd17QKhxhTyZESdffm4MpKlhQUIDMzMyg7GaBwFIsVquV9qIPRn030A2eoij09vZieHgYZWVlAUm/BLrJ2+12tLW1QaPRBPTe2EhzMQ8T4dwiKVapEXPkE0g+OYL4xkbAYgGVlgZ9WRnm8vIgKC1BYlraUq2FkcYK9POhKArvjLyDZ5qfQbIiGS9d9BIK4pcKptdvuB7Hp4/jzOwZgAJyY3JxUfpFy/7e2+e4vSgJXdM6um4iEAAigQDJUVL88egozt+QgPVx/ivqeurmck2JGQwGmlxGRkZCSomt1TSXK/R6PaeRCBPf+MY30NLSgk8++STo11j1NJc3kKjA3xCSyJPo9fqQ5NQFAkFAUdHi4iKampoQFRWF+vr6oNR3Ayn6WywWKJVKmEwmr11p3tbyl7iY9ZGGhoaAWmXP5ciEslphbm5eqn0cOQLb8DAgFkNWVYXY++6DfFsDJNnZAJYOGqT9mGg7kY0ykE1SZ9Xhqaan8N7Ye7gy+0p8p+I7iBCf7e4SCoR4vOZx3HTwJixaF3Fv6b0QCpyfG19kcsmmJDz34dCnrwdIRELsvqEUOQkK3P4XJe76awteuXUz0mL8uw/83diJim9GRoaTiq+7lFh8fLzXjftcjEy4xP3334+3334bhw8fDsnLKOwjE2Dpi/JV3Jybm4NSqURsbCwaGhpC7nrwd3Mng5d5eXnIy8sL+vTs7wbPlEWpr68PKs/s7yavVqvR3NzsV33EE9gkk9WOTOwqFUxHjy4RyMmToPR6CJOToWhoQOx990K2ZQuEbhotJBKJk5cGmTVQqVSYn58HRVG0tL4nH5JWdSueOPUEFi2LeHLLk7hs/WVurzFBnoCnGp7CsaljqEutW/ZzX2SSm6jA+jg5xuZNkIuF+P1N5di8fkkz7o83l+O2Pyvx1dda8PJXKpAU5fvQFEwTi2tKjHQ5+ZsSW63WYLYtHLj2MqEoCvfffz/+9a9/4dChQ8jNzQ3p9cKaTEiu1dumzszlb9y4EdnZ2axsOr4GF5l6Yt4GL/2FP2RCiCs/Px+5ubmcEVcw9RFP6/giE0+bTShyKmyBcjhg6ehYIo+jR2Dt7AIEAkhLSxH9lVsgP+88SDZtCuh7cJ01mJ+fh1KphFAodLLmpduPoyLw156/Yk/nHhTFF+H5859HemS61zXKE8tRnlju/j35GCIUCAT4Qnkq/npyHC/dVIbidWc3s3Wxcuy55VNC+VsLXr6lAnER3g9tbEQJpMvJXUpseHiYbrEl5HKupLm4dlm877778Le//Q3/+7//i+joaExNTQEAYmNjgzICDOs0F+C9PZjUKRYXF1FbW4u4AFoq/VnXE4kRmXyhUIht27ax0uLobYN3OBzo7OzE1NQUK8TFNK1y/Q6Y9RE2PlNPm79Op0N7ezukUimSkpbUapknO9c5E3LdXMOh1cL+0WHEHjqEyR8+CsfcHAQxMZDX1SHqhhshb6gPqHXXF4RCIYRCITZt2gQAtAOgRqNBy0AL/q7/Owatg7g642rcU34PIhShbS7+RApfOy8Ld9ZnQipeviFnxivwx5vLccdflLj7/7XijzeXI0bueRvhYmjRXUpMrVZjYmIC3d3dAJZsrwGsmGI0F91cXEcmu3fvBgBcdNFFTv/+8ssv4/bbbw/49cI6MgE8twfPz8+jubkZ0dHRnLgEeopMiPUs2w6MnsjEZDKhqakJFEWxZh3M3KiZD7rRaERTUxOEQmHA9RFP67gjk5mZGSiVSqSnp0MgEGB0dBQdHR20RlZiYqLHORO2IxOKomDrH4DxU9kSS0sLYLdDkpGByC98AfLztkFaWgoBR34fgDNJKhQKZGRkoF/QjxeHXoREKMHD+Q8j1ZKK48eOIyoqyqmdNtD7zx8yEQoEkIo9/05eUgT+cFMZ/uuvLbj39Tb84aYyREjdb9hcy6kwU2J5eXmwWq04duwYKIpCd3c3zOazWmKJiYmcaV1xUTMhqsFcge1nKezJxDVCoCgKw8PD6O3tdVLdZRuu6TWmpheRqmd7PdeNU6PRoLm5GcnJySguLmbtZnU3s0HqI2lpaSgqKmJtA2Cuwey0Ky0tRWJiIp2SsFgsUKvVdEs3OVkuLCzQGllsfc8OkwnmU6c+nf04AvvUFARyOWS1tYj7wfdhKCzEpF6P3NpaVtYLBGa7Gc+3Po83B97EBesuwMNVDyNWttRIYrFY6In8jo4O2O12p4l8hULh8zNiy7a3IDUKv7+xDHe91oL7/96G315fCrlk+f250nIqEokEAoEAubm5iI6OphWjmSkxppYYW9prbKe5yJDsWnFZBNZImots6larlZ7yrqmpoWUIuABzXbPZTDswBtM95Q+YZMIkzEDnVfxdCzibz2aulZmZyeo6hEzsdjtaW1sxPz+PrVu3Ijo62kk+RiqVOgni/fvf/waw1Cl35MgRREVFwW63Y3FxEREREQGTnW18nCYP05kzgNkMUUYGFBdeAPm2bZBVVUHw6cZinJ0FPnW5YwMzMzN46aWX8PDDDy+7bubm3r/Qj8dPPY4x3Ri+t/l7uCr3KqfvXSqVLivkq9VqzM7Oore3FzKZzGki310hn00P+NL0aLx4Qynu+X+t+PbeDvzm2pJlqbHVlqB39XpfXFyktbC6uroQERHhFOkFSwhcpbl4CXoWIRaLaU9mpVKJiIgIbNu2jfW0litIZDI3N4fm5mbEx8ejqqqKM3tTklYjsihzc3Os14EIyGZis9nQ2dkJtVrN2VoURdHpM5FIRMuv+FITJg9RSkoKzjvvPGg0GnR2dqKvrw+9vb102sJTey1ls8GsVJ5t3R0cBEQiyCorEfv1eyDfdh7E2Vmcn5o7Oztx7bXXYmRkBCKRCA899NDya6UovDnwJn7T8husj1qPPRfvQX5svtfXZRbys7Oz6XuV6aPhLr3DJpkAQFVmLJ67tgTfeKMNP3irE7+8qggS0dlNdTU6qzwV4In3SFxcHJ0SI58ZSYkREzVix+vvZ8XVnAkfmbAIoVAIlUrFSvttMOv29PRg06ZNyMriduMh5HX8+HHaE4Qr+XPyoJ05c4bW1+JCJ4lEW8eOHaN9Y/w9vTG7uaRSKdLS0tDb24vy8nIIBAKnGYSIiIiltlqBALL2dpiPHoXp+Iml1t3ERMi3NSD2nnsg21IL4Qr07RN88MEHuPXWW7G4uIi8vDxcc801y35nwbKAPy/8GW0zbfhy3pdxf9n9kIkC/95FIpGTjwYp5KvVaqf0jtFoZP20W58bj19fXYxv7e3AD/+vGz/7QiFEwrOp1JWMTBwOh99rumqvMZsfiB2vvykxtmsmFosFVquVJxN/4dMQyGaDVquF1Wp1MnfiGiQSstlsnJ3YXaHRaAAASUlJ2LRpE6cP4NzcHAAgKioK5eXlnK01NTUFu92OgoICZGVlBfS37lQIBAKBk0VvdlYWjK1tmP/gfViPHYdxcBAGgQD23FyIv/B5xF5yCaLKyyFY4TQLALzyyiv4zne+Q7t4vvbaa8vu38bZRjx+8nEYLUb8vO7nuCA9cHE9TyCFfNLxtLi4SItUDg0NQaVS0ZFdIO5/nnDBxkQ8dVUhvvdmJ2QiIX70uU0QCgQrXjMh90ug74dEw8GmxNhOc+k/TbPyfiYsQKvV0l1MGRkZK0YkzHXT09M5JxKmqjEAv/W1gl1rZGQEPT09EAgEnK3lcDjQ1dWFiYkJCAQCt0Tij3IzsFxOxaHVwXDy5FnVXY0GguhoRNXVQX7rrbCVl2GeojCjVqN3bg6KkyfpTXMl2kQdDgcef/xxPPfccwCA66+/Hi+88ILTqdbmsGFP5x78ufvPKI0rxRdjvsgqkbiCmd7R6XSIjY2FXC6HRqNBe3s77Ha705xGsJHL9sJk/OTzDvzw7W7IJSI8siN/VSITIHAycUWgKTG2IxOdbkkfjSeTEEBRFG0Uk5OTA6vVumInm4mJCbS3tyMnJ4czu2AmiPyLwWBAbW0tjh8/zlmO2W63o729HWq1GjU1NTh9+jQn8u4WiwXNzc2wWCyorKzEaS8iht6+V7p92eGAdWAApiNHkPrOPugGBwG7HeL8fER+7nOQb2uAtLzcqXU3FkB2djYtJqhWq9HV1QWr1UpvmomJiaynewwGA+6++268/fbbAICHH34YDz30kNP7nNRP4vFTj6NzrhN3F9+NK5KvQF+Pe6VeLkBRFCQSCdLS0pCWlgaKoqDT6aDRaDAzM4Pe3l7I5XL6MwpUzffzZakw2xz40Tu9UEiEuCzZviYiE1/wlRIDgN7eXiQnJ7PSJUZcFle6eSEUhBWZEI90lUpFD+f19vbCbDZzui5zKHDz5s1ITk7mfF2i5xUdHY36+npO/TtIAVwgEND1EX+m0wOFVqtFY2MjYmJiUFVVBYvFEtQalMmE9TMzeDQlFVecacT09TdAIJOB2rABsvvuRfxll0HsR2s2U0yQ6UeiUqnQ19cHuVzu1P0UColPT0/j+uuvR2NjI6RSKX7729/i+uuvd/qdg6MH8VTTU4iRxuDFC15EWWIZNBrNim62rgV4gUCA6OhoREdH0wQ8Pz8PtVq9TLrE3zmNayrXwWxz4Ofv9mNhkxxfrV/ZyEQoFHL6mbqmxCwWCz755BNERESw1iVGyGS1JYQCQdjUTHQ6HZqbmyGRSNDQ0EAXhNkwyPIG4pVOURTq6+vp0ypbbovuMD4+jo6ODqeGAmYLLZsgsyquFr5s+8BPT0+jpaUFubm5yM/Ph0AgoFt//ekgsk1O0rIl5lOncZHZjLHISPTHxuLyRx6BvLoKxxobkVRUBHEQLeGufiTMTbOnpwcWiwWxsbFITEwM+LPp6OjAtddei9HRUSQkJOBvf/sbGhoa6J8bbAb8Wvlr/Gf4P7hs/WX4QeUPECVZuUYAJnx9F2KxeFkhn8z/DA8PQyQSORWlPXVV3lybAaPVjuc+HEJ89Dy+HYKAYCBYDSkVcq/k5eXRjqnMlBi5twLpEltrbcFAGEQmAoEA4+PjaG9vR3Z2NjZs2OB0M7Dtx87E7OwsWlpakJaWhsLCQqfTgy9trmBAagmTk5N0BERAdMjYWpNZH3Enxc+mD3x/fz8GBweXSeEzhyNdHx7KaoXpzBkYP1maPLcNDHzaursZMV/7Gt7o78MDzzyDmxvq8cVtDU6vxwaYmyZJW5ACNWlQ6O7u9jqzAQDvv/8+brvtNiwuLiI/Px979+5Ffv7Ztt7uuW48fupxzBpn8cPqH+KKrCuc3gfbrbq+EOh6CoUC69evp4vSxLN8ZGSEVi0gm6RrIf+uhiwMjYxjzxkNUhLHcVNtBhdvyQmrpRhMnl+AnS4xMv3ORyZ+wuFwoK2tzSm95IpQ3RbdgbkBFhcXIyNj+U3ONomZTCY0NzfD4XA4RUBMsJV6stvt6OjowOzsrMfhTsGnnTahwGaz0dpo7pwsl+l+qTUwHPkEho8/gfHYUTi0OggTEiBvaEDM3V+FfOtWunXX8JvfAFgZCXpm2iIzMxPT09MYGBiAQCBwmtkgUi/kIf/Tn/6E7373u7Db7di2bRv++te/0o0iDsqBN/rewO623ciPzcfLl7yMrOjAOtq4QCjkxfQsz8/Ph8VioduP29ra4HA4EB8f7zSR/6UNEkgUUfjZu/2QS4T48mZ2lSNcEW4ij766xDo7OxEZGbksJca1/Pzhw4fxy1/+EmfOnMHk5CT+9a9/4Utf+lJIr7nqaS4yU+FJc4rtTZ1Z9PZm5ctmmotIhCQmJqKkpMTjjcfGmkTLC4BTutDdWqFszMTnRCKRePZwoSjIxsYw97vfw3TkCMzt7Uv/VlKC2FtugbS+HsKNGyFyc+p3pxq8Uqc0oVAIsVjsJL5IopbBwUGIRCK89tpr+Nvf/gYAuOGGG/D888/TJ0yNSYOfnPkJjk8fx40bb8Q9JffQHuyuCPfIxBXmtjbYRkYgLSiAJDt7WSFfrVZjenoaPT09kMvlsNlsuLkkDkKpDM8fGsZVFWmcvt9wt+z11iXW1dWFhYUFPP3008jNzYVEIuHs/ej1elRUVOCOO+7A1VdfzcprrjqZFBQUeD0hs0kmRBySeIF48zxhI83FlEXxx/Ux1NTT3Nwcmpqa/NLyCiUy0Wg0aGpqcutz4tDpYDh+HIbDH8PwySfIVquxGBmJiG0NiLn+Oii2bYP409O71Wr1+N16crtcKQl65jrMVI9Op8Mdd9yBAwcOAABuuukm3HXXXZicnERiYiLa9e348ZkfQwABntn2jFtPkdVEqGSi/dOfYPr4Uzc+iQSSjRshLSmBtLAAssJCZOfl0d2Qc3NzdGPLeXIrLtsWi5GRkYCnywPBWjPGck2Jzc7OYseOHfjPf/6D1tZWrFu3Dtu3b8fll1+Oa6+9lhWhVwDYtWsXdu3axcprEax6zcQXiJxKKKAoCqOjo+ju7vZbHDJUErPZbGhvb4dGo/FbRyxYMmG+P3+n9YONTEZGRtDd3U3reFEUBcvg4BJ5fPwxTE1NgM0GSV4eIq+8Ah0KBervuAPSAB8Cd91tq50/npqawvXXX4+mpiZIpVLs3r0bn//856FWqzGjnsHujt342PQxSiNL8d3i7yIvIc/na660c2SoZCLbvBmmT44AFAVYrbB2dMDa0wM9eUbFYkjyciEtLYWioBBRVgsyL7gAkbGxTnUDfwv5gSLc0lyBQCAQICUlBT/4wQ9AURQ2btyI++67D++++y5eeuklXHfddSxcLXcIezJhc1Ovrq7221M5lCjBYDCgsbGR7kzzt+c8mDUdDgc6OjowMzMT0PsLNDIh7dPT09Oorq6GvLMLqr++BsMnn8A2NgaBTAb5llok/uD7iDjvPEgyMmC322E8eBAI4kELN9ve9vZ2XHvttRgbG0NCQgJef/111NUtRR32GDt+0/0b9Jv7cVf+XTgv4jzMT87jk75PnGT1XR0BCdZSmktWVwc8/4LzPzIPezYbrD29sPb1A45/IQWA5bXXkPz22051g4WFBajVaqdCPqm1xMTEBE0IXAgursaaer0esbGxuOCCC3DBBdwNtLKJc5pMXNuNAxkkCnbdUPxOAiUTptdJfX19QCFwIJGJxWJBU1MTbDYb6uvrgdY2TN57L8Tp6xBx/vmIOO88yGtrIXRZ353UfSDXB4RHZHLw4EHcfvvt0Gq12LBhA/7xj38gP39puvudkXfwTPMzSFYk46WLXkJBfAH9d2azmW6rHR0dhUAgcBKolEqlay4ykWzYAGFsLBwLC95/kShgi0SQ/dd/Of2IWcgHlj4nErW0trbC4XA4RS2B3NdrLc3lCWTOZC1h1cnEn3STw+EI+CaZmppCa2srsrKygpINCZRMmB1iJSUlSE/3bq3qaU1/yYSoGfsq6nuCv5HJ4uIiGhsbERcXh+rqaojFYlA11cg6+C5Eyclev79QyMSdnEqwrxUK/vjHP+L73/8+7HY7zj//fPzlL39BQkICdFYdnmp6Cu+NvYcrs6/Edyq+gwixc4eeTCZDeno60tPTnfSxmGZgcrkcdrt9xQrxoa4jEAoha6iH8cC7NGG4hVAIYXw8Ru+8E0WXXOL1NWUymZP9gFarhUajwdTUFHp6eqBQKGhi8TVcupbTXEzo9XqkpKSw+ppcY9XJxBdIf7+/oaTD4UB3dzfGx8dRXl6O1NTUoNYNpLPKarWipaUFer3ea4eYP2v6s8GPjo6iq6srJDVjfyITQsiuas0CoRBiP270tRyZ2O12PPLII3jhhaWUzk033YTf/OY3kEqlaFW34olTT2DRsogntzyJy9Zf5vP1mF08pK2WWM0ajUZ8/PHHTlELV4rRwWpl2efnYT55EqZjx5dqJj6IRLx+PZJ++1v09XQH9L0xhTyZhXyNRoOenh5aE4t8Tq6zGOHezeUvuG4N5gJhTybME6q37ivg7CyH3W5HfX19SGGiSCTy6JPOBBGGjIyM9Nkh5gu+yCTY+og7eItMmOKTFRUVbk9IR/vVKFkXjdgI74VTT9PkDocD/f39sNlstAaU69Ao+T3Xa+MaBoMBP/rRj3D06FEAwH//93/je9/7Hhxw4JWuV7Cncw+K4ovw/PnPIz0y8AgUOGsGJhQKMTo6io0bNzrNHkRFRbGq6kvgb2RC2WywtLbCdPw4TMeOw9rVBVAUxPn5UGzfDsObb7r/Q6EQ0pISJP36GQhjY0F1d4V07a6SOMyJ/IGBAYjFYvpzSkhIOGciE4PBwCmZ6HQ69PWd1YQbHBxEc3MzEhISAlb4Jlh1MvF1Y5PJUl8dXWq1GkqlkjWLWyaJeZp+JsKQTAmRUOCNTFyHHkNtEfQUmdhsNrS0tECn03mMsux2B+74cxMEAmBHcQq+VLEO521IdDJFInBHJkwxyOjoaFqEkXkyJ5/lSs+ZTE5O4sYbb0RbWxtkMhl2796Na665BjOGGTx5+kk0qZpwW8Ft+K+i/4JYGPrjQzZ34mOem5sLq9VKb5hkGNCXGVig67mDbWxsiTyOH4f59JklP5jYWMi2bkXUNddAXrcVok8PFhalErb+fucXEAgg37YNif/zUwg+vUY2Jehdh0sdDgfm5+dpqZf29nZIpVLIZDIsLCwgOjp6RYhlLdZMTp8+jYsvvpj+7wceeAAAcNttt+GVV14J6jVXnUz8gbcpeIqiMDg4iP7+flYtbj11E5F/6+7uxsTEhMfJ/WDXdLdeqPURd3AXmZAuNJlMhrq6Oo/tmiKREDmJERhSG3CgfQb722cQIxfjc2Vp+GLFOlSsjzmbEnMhE51Oh8bGRkRHR6O8vJz+HWJBSwbeBgcHASwRD1O8j8vIpK2tDddeey3Gx8cRGxuLvXv3YuvWrTg8cRj/0/g/kAlleP7851GVXMXquq73q6uqL6khuJqBkYnpQDZM5ufn0OthPn0apuMnYDp+HPaxMUAkgrS8DNG3fgXyrXWQFBZA4OZ+U5x3HrRDQwDjuYz44hcR/+APaAVnEtlztaEzZUmApUJ+Z2cnTCYTWlpaQFGUk0o0FwZwAHdkwmVkctFFF7H+LK0JMvFUDCe1Cp1Ohy1btiA2Npa1Nd1NYANLN2xzczPd2cSmGJs7MiH1kY0bNyI7O5u1U55rZKJWq9Hc3Iz09HS/utCurUrHrw72gbzCosmGN86M42+nxpAeK8dVm9fh8+VpTgQwOzsLpVJJN0U4HA7aYoBpQWuz2dD/6al3cXGRridYLBZYLBZW3r8r3n33Xdx+++3Q6XTIy8vDE088gc01m/Gr5l/hzYE3ccG6C/Bw1cOIlbF3jwG+03auNQQyMa1Wq9HR0eHkRZKYmOg1YqUcDkhHRmDu6ICxsQmWlhbAbocoIwPyujrIv/0tyKqr/XKjlNXXQfvqq/R/R991F2Lu/uoy3TGAfTl4j9ckk0GhUCA6Ohp5eXnQarVQq9VOhXwuvG0cDgerNuIURfE1k2Dgz+bojkyIhHtUVBQaGhpCqlV4ui7XdbmIEJhgFv2ZsvhcuEwS4mIKQhYVFWG9n+qulxYm45cHnX047I6lzWNiwYTdhwfx248GkRkFXCeaxJa0acyO+dfpJhaLaVOy6OhoVFVV0Wmf3t5eeto8MTExpJkEgj/+8Y9LNRGHAxdccAGee+45tE214c4P78SYbgzf3/x9fCn3S5yl2QJ5XdeJaRLRES8S1w0TGg0deZhPnMD6hQWYIiIgr61B3He/C3l9HcRBKPrKyssBmQywWBD30IOI+vKXl/0OIZOV9jMhUSwhYZI6dFXyZZpbhSKqyBfgl7DqZOIPXGXox8bGVsQT3t2Gy6UfPFnPbDajqakJDofDq25ZKCBprvb2dszMzPg9pU+QmxSJrAQFRjRGtz//lFcwqgOePjSCRDnwztf9t0CmzbEoivbb0Gg0SElJgUQigVqtRmtrKyiKok/liYmJAZ0Q7XY7Hn30Ufz2t78FANx888149tln8Ub3G9gzvQeZMZnYc/Ee5Mfm+3il4BFKqsFdRKeZmsLCseOYOnUS851dkE1NgRIIIN60CZFXfxkdUinKr70WkTExIV23QCJB/CMPQxQfD3l9vdvfIVH2apCJK1xJ2GAw0LMtAwMDkEgk9H0UHx8f0OGUq9Zgfs6EA5CaCVMNdyU84UUiESwWC1pbW2mHwkA23EAhFAphMBhw9OhRJCQkoLS0lDObWYfDgYmJCchkMq+CkN5weVEKXj42Qkck7kEBEODei/KXEQnJqbuDJ9tekUiE1NRUpKam0vUElUpFd0ExJ85jYmI8bmR6vR533nkn3nnnHQDAY489hru+cRcea3wMH09+jPMiz8OPL/4xZCJuWnSZCGWzpSgKtoGBTwvnJ2BpaoLCbEZkUhLENTUwFRVCsz4Tc3Yb5HI5jEYjFnQ6yCMjQ763Iq+4wue1ASuX5gL8aw1mettkZmbCbrfTE/mDg4Nob2+npfV93UcA+zUTEnEGO2KwWlh1MvE3zWU0GnH8+HGIRKKgN79grq29vR0ymYx2KOQSOp0OKpUKBQUFrNZHXLGwsICpqSnIZDJs3bo16Afh0sJk/PHIsNffEQD47+1ZuLk+N6DX9kdOhZnKyMvLo2c31Go1xsbGnCbOExMT6dPm5OQkrr/+ejQ3N0Mmk+F3v/sdci/IxW0f3Aazw4xHih9BymLKihBJMJHJ0szHKZhOHIf5+AnYZ2YAqRSyykrE3nMP5HVbIWZ0F2ZhacMjE+aDg4Po6elxktWPiIhg/X4Lp8jEG5g6YYCzcsHY2BgAOE3ku+4DbKe5zGYz7HY7TyZcwGq1YnBwEJmZmQFLlASL2dlZGI1GJCcno7KyktM1iWmWWq1GfHw8cnJyOFtrcnISbW1tiImJQWSIp9OK9bGIVYixYHTfti0UAF8tFmFXcVLArx3M0CKZ3Vi3bh0cDgcdtYyMjNBRi0qlwre+9S267vLa/3sNrdGteObjZ1CZVInHax+HQC/AwOJAwNccLHy9L8pmg6WtbWlg8MQJWDs6lmY+8vKguOxSyOvqIKuspNtx3UEkEtGRfE1NDex2O028AwMDkEqlThbGgfi+ewJpCw53MnEFU7mAoijaf4TZTcf0H2E7zaXX6wGAT3OxCYfDgd7eXszPzyM5ORlFRUWcr0lRFAYGBjAwMICIiAikp6dzSiTM7rCcnBz6RmIbFEWht7cXIyMjqKiowMLCQsge9yKhANsLU/Av5aRLqmsptXXntmzUyCbdnr4piqJTl6R9lPk5e+qm8/ckLxQK6dmN/Px8mM1mvPnmm/j2t78No9GIzMxMPP7M43hJ+xL6Jvtwd/HduKXgFogEIqj0qoA/i2Dh6f3YxsfPznycOv3pzEcMZFu2IurLV0G2dSvEAao7MNNOMpmMntew2+20hbE3M7Bg3ttqDBCyuaa7GSDSTUfmowBApVJBoVCwEuHpdDp6pmYtYdXJxNMHbzaboVQqYbFYsG7dOta7tdyB2Wq8detWdHd3c2YZDCylmxobG+n6yNjYGLRard9//9FHH2H//v3YuXOn1442m80GpVJJy71ERUVBq9WyYtt7aVEy9jZN0P8tACARCVGVFYeXj45AXiZCscuGSYgEODuHQhosyJCqOymWUB7SV199FT/4wQ/ojq2bnrwJvx/5PRQCBe6KugtlhjKMjYwhMTFxxfW/BALB0szHmcYl8jh+HLbR0aWZj7JSRH/lFsjr6iApLHQ78+EvPHVXkaiFRC7MKfPBwUGn4nRCQoLfUQubA4v+gmvVYHeF/NOnT0On0+HUqVMhFfIJSCfXalsuBIpVJxN3IC24CQkJqKqqwuDgYMinaF8gsigRERH0xsymJ7srSEca018l0PX+/ve/Y8+ePfj1r3+N2NhYbN++HTt37sSOHTvoQUq9Xo/GxkYoFAonuRe2BgAb8hIgFQlgsVMQAFBIhNhzaxXKM2Lw7X+0YnfrLPJyFnFF0lKqixAJSQ2IxWJayJP8j0ng5HeZ3V2BgGhs7d69GwBw0+03If2WdLww9AK2r9+O71d+H2K7mE75EI9uYlTEVsrHFZTDAWt3N6gD7yL69ClM9A8ANhtE6emQ19ch9pv3Q1ZT49fMh99r+vnZufq+k6iFFKdjYmJo8vG26Z0LkYk3kEK+QCBAYWEhFAoFPZHP/KxISsxXIZ9Ar9dzUsPiGmFBJmRjoygKQ0ND6Ovrc2rBdW0NZhukjpCTk4MNGzbQXyLblsHA2frI5OQkKisrkZR0tp4QqLvjF77wBZhMJhw4cAAqlQp79+7F3r17IRAIsGXLFlx44YVYv349zj///GW1JraI0moyoCgeUKqAKJkYr95ehZL0pbbTZ64pw40vHsLD/xlESmICqrNinciBfM7MFBdpxWYKfJLvnqKogBSkdTod7rzzTuzbtw8A8M2ffhO9m3rRO9mLR6sfxa6sXUvXIAEyMjKQkZEBh8OB4eFhjI2N0SkfIiwYaqHarlLRXVfmkyfhmJsD5HJQhQWI+853IK+vg4glBQd3CGbuw3XK3GQy0VHL8PAwXbwmUQvzJL4akclqCj26Rngmk4luPx4dHQVwtpCfmJjoUcxzLbYFA2FCJsBSKqa1tRULCwuorXWeR/AmpxIKmArD7gQN2fSBB3xPzwe6we/YsQM7duyA3W7H6dOnsW/fPuzbtw9KpRInTpzAiRMnACxtlDt37sQVV1yBiy66iD5NhRqZzMzMQKlU4qryVCy26PD89eXYmHL2JC0VC/GNShl+1yHA115rwp5bKlCyLtqJSFxBNgIyL0KIRaPRYGFhAampqTS5EBJyt3lMTEzg+uuvh1KphEwuw1d/91UcFhxGviQfLze8jKxo92J2QqEQ0dHRkMlk2LJli5P/O7NQTdIY3gqvlNkMc7OSTl1ZPxXWkxQVIvKLX4S8rg4z8XFLaY2yMj8+8dDAxhChXC53Il7SUjs8POxkcpWYmLhqoosr3YpMUZTb+0AulztZEJCJ/ImJiWWyOLGxsfRr6HS6kIYo/cGLL76IX/7yl5icnERJSQmeffZZnH/++SG9ZliQiVarpVMxDQ0NywbPuIgQyMZutVo9Kgyzue7CwgKampqcfEFcEWy0IBKJsHXrVmzduhWPPfYYPvzwQxw4cADd3d34+OOPMT4+jj179mDPnj2QyWS48MILUVdXh7KyMlRVBa4zxYwgy8rKkJaWhhsvdP+7MpEAP92RiUfencDdf2vBK1/ZjII03y2PTNXg6elp2io4LS2Njm7I/wDQBCUQCNDW1obrrrsOExMTSMlJwQU/uwCHzIdw44YbcU/JPZAI/c9jM1M+zEJ1T08PPUVNNk+FQgHb0NBS19Xx47A0NoIymyFMTIS8rg7Rt90K2datEDFmlaiRkRU7vbM9ke7O5IppBkbWm5qaYtWa1xtWg0wA+OzmYjaE5OXlwWq10lFLZ2cnrFYrYmNjcfDgQSgUCk4jkzfeeAPf/va38eKLL2Lbtm34/e9/j127dqGjoyNoxWAgDMiEoigolUqsW7fOKcXEBNtkMj8/j6amJiQkJHjc2Mm6bKSCxsfH0dHRgfz8fOTm5no9lYeyHnFejIiIwJNPPgm5XA6TyYTDhw9j3759eOeddzA8PIx3330X7777LgCguLgYu3btwq5du1BXV+ezPuBwONDW1ga1Wu1TD40o1Orm1fj5Fdn4zttDuOu1Fvzl9krkJHrvVCEbgslkQl9fH6qqquhNi0k0hFhICuzdd9/FV7/6Vej1ehTuKkTCzQmYwQye2fYM6lLr/P4s3YGZxti4ceNS1DI0hMX9B7DY1ITIvl6I5+YBiQTSzZsR87WvQVa3FRIP9/VKg3wfXF2LqxnY6OgoRkZGnMzA/BkoDQUrTSZkXwp0TYlE4jR8q9frMTAwgAMHDtDusF/72tewY8cOXHrppazqDj7zzDO48847cddddwEAnn32WRw4cAC7d+/Gz372s6Bfd9XJRCAQoL6+3uuXwVbNhKIojI6Ooru72y/hRJFIFFLhn6ku7FofcYdQyIR0hrnqhsnlclx++eW4/PLL8cwzz6Crqwv79u3DW2+9hTNnzqCjowMdHR14+umnER8fj8suuwxXXHEFLr/88mUKA0TmhdgEexviJIX2vLw8TExMYKCrDf+VJ8BzbULc9soZvHrrZuQke45QyKnWarViy5YtbtskXWstu3fvxkMPPQRKSKHmezUwlZpQGF+IRyofQVJEEisbDWWzwdLeDtOxJa0rQUcHYh0OiHJygAsvhG7jRswmJ8MiECA+Ph6JCgUSTSaPkjgr2Tm2Um6OwNJ3o1AoIJfLUVtbSw+UajQaWtGXbTMwcqBY6ciENM8ECyKLU15ejvfffx9PP/00Dhw4gIiICDz66KO44YYbMD09zYr6hsViwZkzZ/DQQw85/fvll19O+/cEi1UnEwB0R4+3n4camTClWPw1lgplc2d6dvirLhzsesRXhdkZ5g4CgQBFRUUoKiqiPTvm5uawb98+HDhwABqNBv/4xz/wj3/8A0KhEFu3bqWjluzsbNq+t6yszHut4FMioSgKiYmJSEpKoruCklKm8eC7U/jKn07hv7dFYdP6FCQlJTnliE0mE3p6egAsneB8fXZ2ux0PPvggdu/eDWmqFBWPVsAaY8X9Jffj6tyrIYDAbeuxvxuAbWLi07rHCZhOnQKl00EQEwP5llrEf+mLkG2tgzjt7MzHBi8CjMQIjNmdtpJprpWMkJjdXMyBUuYgIJtmYISYuZIgcgcu5OctFgvy8/Px61//GsBSgxBbMk4qlQp2u32ZA21qaiqmpqZCeu2wIBN/fOBDIRODwYDm5mYIBIKApFiCXZfUR2JjY1FVVeV3a2mgZEJRFHp6ejA6Ohqwr4pQKERkZCS2b9+O6667Dna7HSdPnsQ777yD/fv3o7W1FceOHcOxY8fw2GOPISkpCZdeeimuv/56bNq0ye0GTzrymB1XzI6thIQE1CUk4G/Zubjl5TN4+owFD4uXBuVkMhmSkpIQERGBwcFBWjHV18ldp9Ph9ttvx759+xB3Xhxy/isHyTHJ+HHdj1EYXwgAXluP3RXxKaMRstZWzH300dLMx8inMx+lpYi+6SbI6usgLSryOPPhVoBRo3GSjSenci67FF2x0mTiqZuLKzMwZv1spbASisHr1q1j9fWB5XsuG/dGWJCJL4SS5lKpVHRNprCwMKAvPphuLhIl+KqPeFrPXzKxWq1QKpUwGo1BWRS7dnOJRCLU19ejvr4eP/7xjzEyMoL9+/fjzTffxNGjR6FSqfDGG2/gjTfegFwux8UXX4xdu3Zh586dyMrKciIR8l48vfeMODlevrUSX3mlCc8pHdhz8zbYjVqMjo5idHQUAoGA/ty9ff7j4+O45ppr0Nbbhuz7shFdG41dObvwQOUDiBCfJTt3rcfkWimKgtViga2vD9YTJ2E5eRKWlhYk2mwwpa+DvK4Osfd9A7LaGgiD1EoSi8VOg246nQ5qtRqTk5NYWFiAWCxGf38/a5L6nrCakYk3uJqBMT+fQMzAVoNMuFIMZrNGwkRSUhJEItGyKGRmZmZZtBIo1gyZBJoPZcqiFBcXIyMjI6h1/d3cmW3Gwbov+ktexK0wMjISdXV1QU3Z+iKujIwM1NXVYdOmTSgqKkJTUxNdxB8dHaXbkAGgtLSUblPesmWLX9eTkxiBP32lAre92ox732jDYxckYH5+HuXl5YiMjMRHH30EYGka+9ixY0hKSkJSUhKdAmlubsY111yD+Yh5FPy0AJGJkXh066PYnrnd5/sGAMzNwXz8BIzHjsJ0/AQcc3MQKBSQVFUCd9yBqbRUVOzaBZFIxLo8B5HUz8nJQV9fHy1t4yqpz1YtgWA1IpNAPzvXzycQM7DVEJbkIjIxGAxB7Vf+QCqVorq6GgcPHsRVV11F//vBgwfxxS9+MaTXXhNkwhxg8+eLIz7mWq0WW7duRUyQ3g3+prlc6yPBtvUxT8+e3idxK8zMzMSmTZuCfnC8zZmYzWY0NjYCAOrq6iCXy7Fz507s3LkTzz77LDo6OvDOO+9g3759OH78ONra2tDW1oann34aCQkJuOyyy7Br1y5cdtllXmtTG1Oi8PubynD7q014+B0tXrqlCimJcQBAm3RJJBLk5ubSESZFUejs7MTjTzyOyEsikXdVHgpiCvCLC36B9EjPpluUxQJTUzNMx47BePw4rJ/WZKSFBYj60hehqK+HpLQU83o9ulpa6PVDqbX4A5FIhIiICBQVFdGS+mq1OmBJfX+w0jIxbJBXIGZgMpnMa0TMBbiITMicCVd44IEH8JWvfAU1NTWor6/HH/7wB4yMjOCee+4J6XXDgkz8qZkAS2Ti69Sr0+nQ1NREy4eE0tvuT6SwuLiIxsbGgOsjntYD3JMJc7bDH7dCf9ZyF5mQ9xMfH+/WT0UgEKCkpAQlJSX43ve+h5mZGRw8eBDvvvsuDh48CI1Gg7///e/4+9//DqFQiPr6euzYsQM7d+5EcXGx03dttVphnuzFd6okeKbJhh/uG8JvbyiHVCx0+s6ZKZBnnnkGP3nuJ8i4PwORBZG4JOIS3FlwJ6Id0U6bF0VRsA0NwXjs2NLU+ekzoEwmCBMToairQ8ytX4Girg4iBtlNTU2ho6MDmzZtoqVESCMBs9ZC2ms9DUwGAk+S+rm5ubBYLHStRalUOknqBzO3sRYiE29wV4tyFV0kHZtErYBrcFGANxgMnJLJ9ddfD7VajSeffBKTk5MoLS3FO++8g+zs7JBeNyzIxBfIg+urbjI1NYXW1lZkZ2dj48aNIT84vtJcpD7CluOjJw8Pu92O9vZ2v2Y7/IW7yIR8fv68H1JziI+Pxw033IAbb7wRNpsNJ0+exL59+7B//350dHTgyJEjOHLkCB577DFkZWXREU5NTQ26uroQGRmJGy7bjPxNi/j6/2vFA/9sx6+vKVmmxWWz2fDggw/itZOvIe9HeVCIFfj51p8jR5SzJDM/NAKpxYLkqSlE9vQCzc2wT00BEgnklZWIvftuKBrqIXFzXxCiHhwcRHl5Od3C7a7W4mtgMpjN09PnLJVKnYh0cXERarUao6Ojy6KW6Oho31L2YVKAZwtisRjJyclITk4GRVGYmZlBV1cXVCoV+vr6IJfLnWT1uejyWquWvffeey/uvfdeVl9zTZAJ4L09mEjVj46Oory8PORCEoGnNJfD4UBPTw/GxsaCro+4gzsyIYOIpBONrRw6MzJh1pd8fX7eCu1isRgNDQ1oaGhwKuLv378fhw4dwsjICP7whz/gD3/4A23MdfXVVyM5ORn1eRl47toS3P/3Njz4r3Z8MWWO/iy0Wi2uv/l69KT3IPub2VhvXI891+1BrCgK5vZ2RB0/gdRjx2BpbwccDphSU6HbuAGi665DTEM9otev93hKJVppKpUKtbW1Hg2JyHfjbWASCDwd5m/qidkBlZeXR0+bq9VqjIyMQCgU0sTiqpHFXGsli9MruZ5AIIBUKoVEIkFlZSXsdjsdtRC1Ai7MwLgqwK81/3cgTMjEX7dFdxs7W/UKf9e0WCxQKpUwmUysr0c2IbIxkUn9pKQklJSUsJ4yICdtMm/iq77EnB8h1+sNWVlZuPvuu3H33XfDYDDgo48+wt69e/Hee+9BpVLh8OHDOHz4ML71rW+hrKwMO3fuxJ3ll+D3rTN452//B2ApFXbhFy6E/Qt2xKfE46qF83BffANMj/4Pxk6ehEOrhTA6GvKtW5ZqH3V1EK9bB71eD5VKBZVKhd6jR6FQKJCUlITk5GS6I4jU1sxmM7Zs2RKQk6a3qMVX67G77yJQuE6bE42soaEhdHR0uFX2PdciE3frMUmfNG1QFOUkq0801phS8cGmp9mOTIis/VpzWQTChEz8gbv24Pn5eTQ3NyMuLi7keoU7uNYVFhcX0dTUhJiYGNTX13MiTU7WJBIs/kzqB7sOmS0hKgTeoh5P8yP+QqFQYOPGjbjlllvwi1/8AhMTEzhw4AD279+PEydOoLW1Fa2trQB+CUVuFRzWJeUBrVaLKfskvnkqBed125BJHYJGeBiyT2c+FPX1kBYXQeDyXRCPb5JbV6vVUKlUaG1thd1uR1zcksCiXC5HTU1NSH45vqIWb0V8NoriTI2sDRs20Mq+RIBRLBavmDYWEysdCXmq0RCjKS7MwLiomXBdgOcKa4pMmCe+0dFRdHV1+Zz6DnVNsiFMTU2hra2NtfqIJwgEAvT390OlUvklwRIsdDodKIpCZGSkk/yKOzBP3cEQCYl+tFottmzZgsjISCQlJaG8vBzf//73oVKpcPDgQezfvx/vvfce5gcbnf5ee2YRmaoExF50IZK+/GUotm4NaOZDLBY76SBNTU2hs7MTQqGQlqEhp1g2NKNcoxZvA5NcRAuuyr5k45yamqI79ZKSkjjzfifgIgXkaz1/yItNMzA+zXUWYUEm/tzMpGZit9vR2dmJmZkZVFVVLdOPYhPkxuzq6vIoU88mrFYrfWqqq6vj7HRCCu3A0oyItweQuREGQyREnVkoFGLLli1uT8dJSUm48cYbceONN8JiseDhhx/G7373u7PXAODu4SHg1SHkfPQRdu3ahR07duD8888PKDUFABqNBl1dXcjJyaGnr0k6jFl7SE5O9lh7CATeBiYdDgcMBgNkMhmsVisnrcdEeYDIlAwNDSElJSUoSf1AES6RiS+EYgZmt9tZzVCQ9meeTDiESCSC0WjEiRMnApZFCRYkxTU7O0vb3XIFMogoEAhQXFzMCZFQFIX+/n4MDg6iuLiYJhRPv8u01w2GSLRaLZqbmxEfH4/i4mKfD7rNZsNDDz2E3//+98t+plAoYLPZMDQ0hN27d2P37t2IjIzExRdfTHeI+ZKdGB8fR1dXF4qLi+nflUqlTrWH+fl5qFQq9Pf3o7W1FXFxcXTUEqrHBDMd5nA40N7eDr1ej/z8fAAIuNYSKIjvhjtJ/d7eXpjN5mVGYKFgNWomoZIhk3wB32ZgbKe5jEYjKIriyYRLkI0kPT0dRUVFnJ94iMcKAFRWVnL65c7MzKClpQVZWVmYmpri5AG02+1obW2lox5CxJ5mWpiF9mBky2dnZ9Ha2kpHAL7+XqvV4tZbb6Wl8QmEQiGys7MxODiI7OxsPPLIIzh+/Dj279+PyclJ/Pvf/8a///1vAEBFRQUt8VJdXe1Ul+jv78fo6CgqKys9DlIyN5JNmzbBaDRCpVJhdnbWST8sKSkppFM8KfxbLBZs2bIFMpmM09ZjAtf6jGu6x2Aw0LUWZmstEacM9P2ulcjEG9yZgRFi6ejooNPv8fHxfrVn+4JerwcAnkyChbcvgKIoDA4OYm5ujpZX5xokDZSbm4uBgQFObVRJS25paSnWrVuH2dlZVjxUmDCZTGhsbKSHCGUyGV0Udl0r1EI7GRrr6+tDcXEx0tLSfP7N2NgYrr76arS1tUEul6OkpASzs7MYGRkBRVHYt28fdu3aheLiYlx33XW45ZZbaB+cAwcOYN++fTh9+jSUSiWUSiV+/vOfIykpiZZ4ycjIgNVqRW1tbUAPqUKhQGZmJl201Wg0UKlU6OzshMViQUJCApKTk5GUlOR3lExk/CUSCWpqaugUCVetx0z4qs+4FqldBwLj4+OdjMB8YTW7ubgAs9EhPz+f/i5JR2moQ6XAUoZCJBJxnnXhAmFBJp7AtPJNS0vjvBuFqcJL6iPDw8Osb+6Ac6TAbMkNRfbeHZg+J8z6iLtuolAL7USfbGZmBtXV1X4NVzY1NeGaa67B1NQUUlJSsHfvXpSVlaGnpwdbt24FRVFYv349Dh48iMTERPoeEAgE2Lx5MzZv3owHH3yQnsQnRXyVSoXXXnsNr732GkQiERoaGmg5/WAGWkUikdOAnF6vx+zsLCYnJ+nhS1f9MFcYDAZaLcFXq3egrcfk//eGQIr9zNbaTZs20VGLL0l91/XWemTiDTKZDBKJBOvXr0dycjIthROKGRjxf1/J98EWwoZMXCeyiSyKXC5HQ0MDhoeHQzKq8gWmCi+zPsKFZbDRaERTUxOt1MtsyWWTTCYnJ9HW1ua2440pOwKEXmi3Wq1obW2lZzb8Obn++9//xh133AGDwYDi4mL885//pG1DmfUPh8Phsx6SkpKCm2++GTfffDOsVis+/PBDvPbaazh58iRGRkbw8ccf4+OPP8YjjzyCvLw8us5y3nnnBTwIypT1YEqoE/0wALSPCyFAYkuQnp4eMJmF0nrMRLCbu0AgoFuts7KyaBkTlUrlJL5INk5mCvVcikzcgdRMhEJnW95gzcAImaxFhA2ZMDE9PY3W1lYnMUOxWEznE9mGVqtFU1OTWxVef5V8/cXc3ByampqQkpLitijNxnoURaGvrw9DQ0MeO9BIDt71tBsMkRByJK56vrpbKIrCCy+8gIcffhgUReHSSy/FX/7yF6dIhvm5BFpYNRqNkMlkeOihh1BQUIDBwUF6Ev+TTz7BwMAAXnzxRbz44ouIiorCJZdcgp07d+Lyyy8PyjvCVUJ9YWEBKpUKw8PDaG9vR0REBAwGA7KysliR+Qmk9Zj5u2y1IbvKmBDJ+KmpKfT09NCS8RaL5TNBJu7WdDUDYwp4kkjWnRnYapDJT3/6U/znP/9Bc3MzpFIp5ufng3qdsCITZpqptLTUKd/ORYQAnK2P5OTkuPWgZ8sHHliqDXR2dmLTpk3Iyspy+6CFGpmQ9NnCwgLq6uq8TtIKBEsOhK4ChoGADI6mpaVh06ZNfnVsfe9738NLL70EALjzzjvxzDPPLCMgVzLxF6Twn5eXRw975ufn47777sN9990HrVaLDz/8kCaX6elpvP3223j77bcBLDVbkCJ+ZWVlwJuTQCBAXFwc4uLisGHDBgwPD6O3txfR0dEYGxvD1NQUnT5KTExkpfvIVYbHU9TCxfPjTjKeiFPq9Xr09PRArVbTUQubkvqucDgcnAwS+1rT13foKuDJ/IyYZmDHjh2DVCoNuWswUFgsFlx77bWor6/Hnj17gn6dsCETq9WKpqYmmEwmt224bJMJRVHo7e3FyMiIVz0qNtYl+k+Tk5M+Z2NCIRNSaCfpM281JpLymJ2dRXp6elAP+eTkJDo7O7Fx40ZkZmb6/P3FxUXceuutOHjwIAQCAX7605/im9/8ptsHh/mA+vv5j46Oore3FyUlJR6/z+joaHzhC1/AF77wBTgcDiiVSuzfvx/79u3DmTNn0NTUhKamJvzP//wPUlJSaMXjSy65JCArA9I4Mjw8jKqqKiQkJMDhcNDpoZ6eHpjNZsTHx9PkEmorrmvtxDViWVxchEAggMVi4aT1GFiK0siAqE6nQ2pqKhwOByYmJtDd3U3b87Ihqe8Ku92+4lP+wcipMD8jEtmNjo7i1VdfRXt7O6KiovD9738/6DRsoPjRj34EAHjllVdCep2wIBOKonDmzBlIpVKPMiWhuC26gtRHDAaDz/mRUNNOgXrBB0smRMcrOTnZ50wHKebm5uZiamoK/f39iI2NpTuTfJ2MSBcaIWJ/pvRHR0dx9dVXo729HQqFAi+//DI+//nPe/z9QCITcjCYmJhAVVUV4uLifF4PWaOyshKVlZV4+OGHMTU1hXfffRcHDhzA+++/j5mZGfzlL3/BX/7yF0gkEmzbto2OWjZs2OD1erq6ujAzM4Oamho6OmSKMRYUFND6YbOzs07pIaZ+WCggZEEaI7RaLcrLy+nJe669WgDQjQnuJPUBOIlThkoEq5HmCnW2hUR2xcXFOHLkCF544QW88cYb0Gg0uPXWW7GwsIChoSHOlDDYRFiQCenMkUqlHjcxtiITpkthfX29zwnnUNJcZFYlJibGb+2wYMiESOH7o+PF7ArKzs5GTk4OTCbTsnkKkhN33dTsdjs6OjowPz/vd6ttY2MjrrnmGkxPTyM1NRV79+5FVVWV179xXdMTiDz/4uIiamtrQ8o3p6Wl4dZbb8Wtt94Ki8WCI0eO0Omwvr4+HDp0CIcOHcKDDz6IDRs20EX8bdu20RshkY7R6/U+GxF86YeRIn5SUlLQp1O73Y6WlhaYTCZ6pgU4W8R39WoB2BuYdK3ReJPUdxWnDGZmY6XJhHx2bA4t2mw25OXlYc+ePfShZC0QCRAmZAIs9bh72zS8SdD7i+npabS0tHisj7hDsCQWzFpkPX/JhBTah4eHfUrhe5tol8vlTlPRzE3N4XDQp+WYmBi0t7cDgNPG5A3/93//hzvuuANGoxElJSX45z//6VdKjPmAevo8SNRHrofNFIdUKsXFF1+Miy++GL/4xS/Q29tLE8uRI0fQ19eHF154AS+88AKio6Nx6aWX4rLLLkN6ejri4+NRU1MT0PW46odptVrMzs5ibGyM3mgD1Q+zWq305+MqZumt9ZitgUlvm7s7SX0StYyOjkIgEPiU1A9kPS7AfJbYAlNKRSAQoKioKKjXeeKJJ+j0lSecOnUKNTU1Qb2+O4QNmfhCKJEJs7uprKzMr0E6gkAjBaZkSaBrAXCSoPcGMoOzuLjoM1Xn6kHirdAuEomcbFIXFxehUqkwODgIvV4PiUSCrKwsWK1Wr5EkRVH4zW9+gx/+8IegKArbt2/Hn//8Z7/rDr7SXAaDAU1NTYiKinLrCMk2Nm7ciI0bN+L+++/H4uIiPvjgA5pcZmdn8dZbb+Gtt94CAFRVVeGKK67Azp07UVFREVQRnxRs8/PzYbFYlumHEWLxtNESQUe5XI7y8nKvnw9XA5OBtAbLZDK6+8nhcNBRC5k096aPxVxvpedaALB677HlsviNb3wDN9xwg9ffycnJCXkdJtYUmQRTM7FarWhpaYFer/fZ3eRpXX9JjDlkGaz3vFDo21HSdU7FV6GdbAyBni7J6dFms2FkZASZmZmIjIykyYWkw4i8CHltm82GBx54gO4M+epXv4pf/epXAXXaeEtzkQ6yYGY22EBMTAy+9KUv4Utf+hIcDgc++eQT/OUvf0FTUxM6OzvR2NiIxsZG/OQnP0FaWhpdxL/44ouD8qkIVD/MaDSisbERcXFxfmmiuYKtgclg51qEQiHdEZefn+9WH4sZtZD7aqVViu12e1AdkN6g0+lYEa8l98NKImzIxNcXIhaL6VOSvzcoqY9ERET4VR9xB3/JhDzAxG0w2JSLSCSCxWLx+PP5+Xk0NjZ6nFNhItSJdmCpcN7T0+MkjkjkNkg6jLQ3koG1733ve3j//fchEAjws5/9DN/4xjcCXps8pMyTMbCUPiT1IX/SZVxjfn4edrsdDz/8MN3Q8O6772L//v14//33MTU1hVdffRWvvvoqpFIpzjvvPLqIn5eXF/B6vvTDJBIJrFYrEhMTUVhYyEoRHwhuYJKtoUVPkvoDAwNob2+nvUisVuuKHixIJxeba+r1+pC92APFyMgINBoNRkZGYLfb6dTohg0bApIfChsy8QVyM/vbikcGH0MdFBMKhV43d2BJ1pzMWoT6AHtLqwVbaA9WY6unp4duZ46Pj3f6ubt0WEtLC2666SYMDg5CLpfjl7/8Ja677rqA1mWCdNKRes/IyAj6+/tRVlbGmlVyKJienkZbWxsKCwuRkZEBYGly/7bbbsNtt90Gs9mMTz75BPv27cP+/fsxODiIDz74AB988AG+//3vY9OmTXQRv6GhIajDDlM/jEzgR0VFYXFxER999FFQ+mHeEMjAJBdyKkwy3bhxI+1FolarYTQa0dXVBY1GQ/u+czl3wkUkxFaaKxA89thjePXVV+n/rqysBAB8+OGHuOiii/x+nTVJJt4eulDqI57W9VbDGBkZQXd3NwoKCmgpkFDgjkyYMzH+FtpDkUYh6Tqj0YgtW7b4bGcWCATo6+vDrbfeipmZGaSmpuLFF19EamoqTpw44TEd5gskKrTZbOju7sb09LTfml9cY2RkBH19fSgvL/f4fchkMlx66aW49NJL8ctf/hI9PT10neXo0aPo6elBT08PfvOb3yAmJgaXXXYZPYkfKFmSYc2CggKsX7+enl9QqVTL9MOSk5MRGxvL+iQ+877TarX0YYYrrxbA2YvkyJEjyMzMhMlkQl9fH0wmE50CJOKUbM+1sP1+VmMC/pVXXgl5xgQIIzLx9SULBAKfdRMi7a3VaoOqj7iDpzSXw+FAZ2cnpqamUF1d7VHWPFC4kgl5TzqdLuBCezBEYjKZ0NTUBKlUitraWr9Oy//7v/+LO++8E0ajEaWlpfjnP/+J9evXA4DHdFhycrKTcKM7kAeVGBT5q/nFJchhZXx8PCBiEwgEKCgoQEFBAb71rW9hYWEB77//Pvbt24d3330XKpUKb775Jt58800IBALU1tZi586d2LFjByoqKrx+jxMTE+jq6nIa1mROprvqh5E0BrP1mA0TMGDpeZmfn6dVCCIiIjhrPXYFRVGIi4uja5VMSf3+/n5IpVKaWIKR1HcFF5a9a9UYCwgjMvEH3uoXRBhSoVD4LEoHAneRgsViQVNTE2w2GxoaGljd4JjrkTqMRCJBXV2dX4V2ItwYzIO6sLCA5uZmJCcn+5WuoygKzz33HB599FFQFIXLL78cf/7zn51I3FN3GNGt8jYsSdYn8vGhbnihwuFwOM3YhHKCjI2NxZe//GV8+ctfht1uR2NjI50OUyqVOHnyJE6ePIknn3wS6enp2LFjB3bt2oWLLrrIad3h4WH09/ejoqLCa+HWl35YbGwsTSyeuqX8AUn5MmtazCI+iZy5GJh0rad6ktTv7u6GxWIJWFLf3Xo8mZzFOUEmxFyKKQzJ1ZqLi4t0p0x1dTXrOVlCJkQQMjU11acZGBuFdlLYzs/P96gbxoTVasUDDzyAP/3pTwCAr33ta3jqqae8fh7M2QLSpeNuWNL1pFxYWLjqRMI0tKqtrWVV4kIkEqG2tha1tbV47LHHMDExQfu0fPjhh5iYmMDLL7+Ml19+GTKZDBdccAF27NhBzyAEmvpz1Q8j3wPp0hOLxUHph5FUW2FhIdLT0+l/91TEZ3tg0ltzDlNSn6IoOmqZnZ31W1LfFWynuch18WSyAnBNczFnOoi5FBdrkpudiELm5eUhLy+Pk84RoVAIo9GI06dPexWEJGCe8oIttA8NDdGfoT8e9wsLC7jlllvwwQcfQCAQ4Be/+AXuvffegNf2NizJ7MyxWq0BvS7b8GRoxRXS09Nxxx134I477oDJZMLHH39M64cNDw/j4MGDOHjwIACgoKCA9mmpq6sL6tqY3wM5yBCJF3/1w6amptDe3o7S0lKPumgEXAxMBtLp6UlSX61Wo7OzEzabza2kviv4yMQZYUMm/mxEzCl4Luoj7kDmPnp7ezE0NORVFDJUUBSFyclJmEwm1NTUeO0TZxbaSddMMPITnZ2dUKvVqK2t9eszHB4extVXX43Ozk5ERETglVdewZVXXhnQuu5A0mF2ux0TExPIzc2lH9QTJ05Ar9f7rR3GJvR6PZqamoKe2QgVcrkc27dvx/bt2/GrX/0KnZ2deOWVV3D48GF0dHSgu7sb3d3dePbZZxEXF0cX8bdv3x7UnAFTP4yclF31wwixkBP82NgYenp6UFFREfCabA1MhpLedZXUJ5pp09PTTpppiYmJTnLxfM3EGQLK1Rh6lUBRlM8W3FOnTmHdunWIj4+np3srKio4VQqdmZmBUqmEVCpFVVUVZ6Rls9mgVCppZVdvLXmBTLR7gsVigVKphN1ux+bNm/1qGz19+jSuueYazM7OIi0tDXv37qXbCEMFU2W3vLwciYmJyM7OhkqlwpEjR5CUlITZ2VloNJqgu8MCBTG0ysjICEgShyuQe8Rms6GyshJ6vR7vvfce9u/fj4MHD0KtVtO/KxQKsWXLFrr1uLS0NOTrZ+qHqVQqOBwOyOVyGAwGlJWV+RXVBgLXqIW5Vbmmw6xWKz7++GNccMEFrEaOVquVVnrWaDSw2+20yZVer4fVakVxcTEra5HX7u/vR25uLiuvuZJYU2TS2NgIqVSKqakpZGZmYuPGjZyeFA0GA06fPg2j0YiLL76YM9Iidq4ymQzZ2dno6OjwSCZsFNrJaTs6OtpvKZK33noLd955J0wm07KOrVBBJPpVKhUqKytpws7JycHs7CxOnDiB0tJSAM7dYbOzswF1hwUCkv/fsGEDKy3foYI0fYjFYlRUVCzbMO12O06dOkWnw9ra2px+npGRgZ07d2LXrl248MILQ5a7Z9oqKBQK6PX6oPTDAl2TSSzkGSC+PMeOHcNFF13E2Z7ANLlSq9VYXFyERCJBeno6LakfytparRYZGRmYmZkJizmqQBE2ZALAqy0vRVE4evQodDodysvLOamPMKFWq9Hc3EyfiC+77DJO1iGFdjLwSAr8l1xyybLfZRYsgy20azQaKJVKrF+/3q/TNkVRePbZZ/Hoo48CAHbs2IFXX32VtQiNpCvNZjMqKyudIqS8vDxMT0/j6NGjqKiocHttpDtsdnYWOp0uICl9TyBueCUlJSHPKbEB0tVHyN+fDWtsbIwu4h86dAhGo5H+mVwux4UXXkhHLYGSJZl7mpycRHV1NaKiopz0w9RqtZN+WGJiIut1JteBybm5ObS3t2Pbtm2ctR67orOzE2azGRKJBBqNxsmaN5iDzdTUFDZt2gSDwbDqLfDBYE2QCRmiU6lUSEtLQ1lZGWfXQCate3p6UFRUhPj4eBw5cgSXX34562sR50XmwKNWq8WJEyeWkRcbHVtkk2RObHuD1WrFd77zHbz88ssAgHvuuQe/+MUvWNsYyEyLTCZDeXn5stfduHEjJiYm8Mknn/iVTmN2hwWTDmOm2ioqKlibHQoFRBKItGsH870bjUZ89NFHNLmMjo46/by4uJiOWrZs2eL1+6Uoiq6zVVdXu41wmPphKpUKBoOBHh5MTk5GREQEq1ELaUfOzc1Fenr6sqiFq4HJzs5OyGQy5OXlOUnqq9VqaLVaxMTEICEhAUlJSX5J6vf392PLli0wmUwrXptjA2FFJhaLBa6XQ1IyMpkMEREREAqFQcsy+wKZI5iZmUFlZSXi4+NhMplw6NAh7Nixg7UHgKIodHd3Y3x8HJs3b3aaD9DpdDh69KgTeTFPYMF2bPX19WFsbMzvTdK1Y+upp57CvffeG9C63qDVatHU1ISkpCSPMy0FBQUYGxvDxx9/7NP/xBV2ux0ajQazs7NO6TByWnY9NRLviNnZWadU22qC1GzWr1+P/Px8Vu4/iqLQ0dFBT+IfP37caY4qPj4e27dvp4v4zHvF4XDQ3jHV1dV+y7Mw9cPm5uYgk8no7yE+Pj6kIranuRZm67G3WksoIK6I7rS0LBYLTSwajcYvSf2WlhZceeWVmJubW/X6XDAIm24ud5idnaVTMps2bUJ/fz9MJhMna5nNZjQ3N8Nut6O+vp4OM5ktjGx0bpAiKnF5dB18I3Mm5AHw5EHiL4hZk1arxZYtW/watGN2bEVGRuKVV17BFVdcEdC63qBWq2mvl5ycHK9y+OQ9BAqRSOTUoUPSYSMjI+jo6HBKh8nlcrS1tcFgMKC2tjYsUgzEjZDtmo1AIEBJSQlKSkrw3e9+FxqNBgcPHqSL+HNzc/j73/+Ov//97xAKhairq8OOHTuwY8cO2Gw2mEwm1NbWBpTCYeqHEZJXqVTo7OyExWJxIvlA9MPIZ1RQUOAUaXtqPfakEBFs1OJtzkQqlQYsqa/T6VZUSmVoaAg//vGP8cEHH2Bqagrp6em45ZZb8MMf/jCo2mNYkgmxhR0YGEBJSQk9AMWGQZY7MAcRy8rKnEiDuaGFSibMQntdXZ3b0wmzRZIZrgdzs5tMJjQ3N0MsFvttHnXq1Clce+21mJ2dxbp167B3715s3rw54LU9gaTamCrEnsDcEEKBr2FJYOneKioq4txv2x8QAUl/PqNQkZCQgOuvvx7XX389bDYbTp48SRfxOzo6cPToURw9ehSPP/44UlNT8bnPfQ4LCwu48MILgyJdV5IPVj9MpVKhpaUFRUVFXj8jrrxaAP/3BFdJfbPZTEctRFL/9ddfR0pKCuLi4lYsKunq6oLD4cDvf/97bNiwAW1tbfjqV78KvV6PX/3qVwG/XliluaxWKywWC+0JUlVV5eQJMjIygtnZWVRXV7O25uTkJNra2pCfn4/c3NxlXyRFUThw4EDQDw+BRqNBU1MT0tPTUVBQ4PGGtVqteP/993HxxRc73eCBYnFxEc3NzUhMTPQ5QU/wr3/9C3fddRdMJhPKy8uxd+9ev2or/oAMmI6OjvqdaisvL0d/fz8OHjyIhoYGVq6DCaZtQFRUFN3u6i0dxjVGR0fR29sbFsrIIyMj+M9//oN//OMfaGpqcuq2VCgUuOiii+giPhudfVar1amID7jXDyOddsXFxSE1SPhqPfYVtZw5cwYZGRkhX4NKpcKTTz6JDz/8EGNjY7jgggtwxRVX4IorrkBJScmKprx++ctfYvfu3RgYGAj4b8MqMtHr9Thz5gykUqlbT5BgDbLcganEW1FR4bFHntxMoURE7grtnkBunOHhYaSlpQUV9s7MzKCtrQ25uble00gEFEXhmWeewWOPPQYA2LlzJ1599VXWhqdIrj0Q33jA+TTJNkjNhlnY9pUO43JYkln8r6qqQlxcHCfrBIK0tDRUVlairq4OGzZscJLTHx8fx759+7Bv3z4AQGlpKV3Er62tDSqKl0gkdGrIk36YXC7H9PQ0ysrKQh4eDjVqYSNbIRQKkZKSghdeeAGvvfYa9uzZgxtuuAHvvPMOnnzySfT29nIenTKxsLAQdONJWJFJR0cHEhMTPZ7cQ7HuZYLULYj7oq/NLRBfdiZIUXdiYgJVVVU+HdTIGkVFRZiZmcHg4CAiIiLotIAv2XCm5wdTQdYbrFYrvvWtb9F+Bl//+tfxi1/8grXJXqvVSg9H+usbT8BWmssVpD06OzvbKRoNRDuMzWFJ4h0zNTWFmpqasCj+m0wmNDY20rbIQqGQlm2hKAptbW10Ef/EiRNoa2tDW1sbfvWrXyExMZEu4l922WXLvHD8gTv9sP7+fkxMTEAoFKK7uxtqtRrJyclISEhg5X71JvPiTj+MbTkVvV6PxMRE3HPPPbjnnntgsVhWNDLu7+/H888/j6effjqovw8rMvGVvmKjZsLsDvPXfTEYEiObqNFodFtoZ4LURsgaGRkZWL9+PT1xPDs7i6amJgiFQppYXB8gMkRG0oD+CP/Nz8/j5ptvxqFDhyAUCvHUU0/h61//ekDv0xuIvXBERAQqKysDfvDIJs9mnYxoSPnTHu2qHUa6w5hS+qGmw5hKxOEgsQ8s1fbOnDlDp0hdDzACgQBlZWUoKyvD97//fahUKrqI/95770GtVuP111/H66+/TltLE9XjYNubNRoNpqenUVlZiYSEBFo/rLu722/9sEDAjFrIYYYZtVgsFlitVppo2Gg91ul0TgfbYO+pJ554Aj/60Y+8/s6pU6dQU1ND//fExAR27tyJa6+9FnfddVdQ64ZVzcRms3ndOObm5qBUKgNy/2KCONFlZGRg06ZNfn/5hw8fRklJid/ezORhVCgUqKio8GnmxZxo9ySNQnr3Saur2WxGYmIiUlJSEBsbi66uLlgslmWDf54wNDSEq6++mi56/vnPf8bOnTv9en/+gMjZp6amoqCgIKgNZOvWrWhra8Pbb7+NSy+9NORrIoZWodYj2BqWtNvtTgOb4VD81+l0OHPmDNLS0oJS4LbZbDh+/Dj27duHAwcOoLOz0+nn2dnZ2LVrF3bs2IELLrjAr3t1fHwc3d3d2Lx587IUDFM/TKVSYW5uzq1+GJsgc2+ktsh8/VBaj3/yk59geno6ZKMq8ll4Q05ODv3ZT0xM4OKLL8bWrVvxyiuvBP15rSkyWVxcxKlTpwLeWCiKwvDwMHp7e1FcXBxwUfnIkSPYuHGjX9pDZHLeV6GdXFcwg4ikC2Z2dhbT09PQ6XQQi8XIzs5GamqqzzrLyZMnce2110KlUiE9PR179+51O2EeLEjNxl85e0+or69HS0sL3nrrLWzfvj3o6yH1sYmJCVRWVrLu1BjMsKTVakVTUxMEAgE2b9686hL7wNmuxszMTNZUsYeGhuh02OHDh50GkyMiInDxxRfTRXymbD0BaUggc1++4E4/jFgXJyYmhkzYDoeDdiGtrq6GSCRa5tUS7MDkww8/DIfDgRdffDGkawwE4+PjuPjii1FdXY2//vWvIaXtwirN5evmFYvFARfgSfFXpVKhtrY2qMKmvwX40dFResKcDFB5QigT7cRFz2azYWRkBOnp6YiJicHs7CwGBga81lnefPNNfPWrX4XJZEJFRQX27t3r9iEOFuT072/NxhuY6qzBgnz/CwsLIRtaeUKg6TAy+a9QKJa1oq8W5ubm0NzcjLy8PLdDeMEiJyeHrgHo9XocOnSILuJPTk7iP//5D/7zn/8AWOree/HFF2m1g+HhYQwMDATUkCAWi5GamorU1FRaS2t2dhajo6Po6OhAdHR00PphrkTCPACw4dVClLFXChMTE7jooouQlZWFX/3qV5idnaV/FkyHWliRiS+QU4C/vgXEh4KiKNTX1wc0EOW6rrcisMPhQHd3NyYmJvyy8A11oh1Yamnu6OjApk2baOLKzMz0WGdJSkrCK6+8QudSr7jiCrz88susdWyRIvLk5CRr3UjkAQ02eCaNFsSpcSXSSK5zFGQzI91h0dHRMBgMiI+PDxsiIcN/mzZtYk280x0iIyNx5ZVX4sorrwRFUWhpaaGjllOnTqGlpYU+2BCPnaqqqqAjSYFAgJiYGMTExCA/P99JP2xkZCQg/TAmkVRVVXmMJEPxatHpdMjLywvqvQaDd999F319fejr61v2vQfzzK05MgH8czhbWFhAY2MjEhMTUVJSEtJD660ATwrtJpMJ9fX1Xot/roX2YKVRyLyGqxQL4HwyI3WWiYkJ3HPPPThw4AAA4LbbbsPTTz/NWrGXTNnrdDps2bKFlQIoEFpkQg4SUql0RQyt3MF1MyObtlQqhVqtxrFjx1ZESt8bZmZm6JmNlWxBFQgEqKioQEVFBR588EHMzMzg1KlTSE1NxcDAAEZGRljvbJNKpUhPT0d6erqTflh/fz9aW1s96ocRIjEYDKiurva7MB5o67HBYGDt2fEHt99+O26//XbWXi+syMTXxkq+FJvN5jXHPDExgfb2dmzYsMGvOQtf8EQmer0ejY2NiIiI8Olyx4YHid1up7WR/JnXIGT1gx/8AB999BGEQiEeeughXHbZZThy5AhdNE5OTg46/WOxWNDc3AyBQBCwzIYvBDtnstqGVu4wNzeHlpYW5OXlIScnh7PusEAwMTGBrq4uTrxIAkVKSgquuOIK9PX1YXx8HDU1NZyaRAmFQiQkJCAhIQGbNm2C0WjE7OwsTS5EPywxMRETExMBE4mnNT1FLWazGadPn16TPiYEYUUmviAQCLxGCSTVQk7tbOUfSU85E6TQnpGR4bNbiXnTBNtCaDaboVQqAcBvaZTBwUFcffXV6O7uRlRUFF599VW6Y8tkMtGdYX19fQHNsxCQTTsmJibk6M8dgpkzCTdDK+BsQwJTQ8pXOiw2NpY+JXMxLEkK2xUVFX53KXIJpqx9TU3NimpUAUsT/VlZWcjKynIi+paWFproZ2ZmAtYP8wRm1GKz2fC1r30NCoUCt956a8ivvVpYU2QCeI4SrFYrWlpaaAFFNk81rmuOjIygu7sbRUVFPnPMbEjH63Q6p5O2P5v2iRMncN1110GlUiEjIwN79+5FeXk5/XO5XE6L77mrsyQlJSElJcXjQNj8/DzdtbZx40ZONu1A01zhZmgFLJ3+Ozs7vZ7+XdNhzO6wgYEB1oclBwcHMTQ0FDaT9uQQOD09vSpE4gqRSITExETa+KuwsBALCwtO+mHk+/D34OUJdrsdX//619HW1objx4+HhX9OsAgrMvHnS3EnqULSTQqFwqOAYigg3VxMdzl/Cu1sEIlKpUJrayuysrL8btfcu3cv7r77bpjNZmzevBl79+71mg93V2dhDoQRJ8Pk5GRIpVJMT0+jvb3dSfabCwQSmRABydLS0pC7yNgCKSKTQTt/wdWwJKm3jY2Nhc2kPVGJIN2W4TC06XA40NbWBr1ej5qaGkilUiQkJCA3N9dJP6y5uRmAe/0wf2C32/HNb34TJ0+exKFDh9Y0kQBhRib+wDVKIDL1mZmZQQ1Z+bum2WzGmTNnYDab/S60k7xosERC2mz9FbSjKAq/+tWv8MQTTwAArrzySrz88ssBnfRcc8l6vR4zMzO0vphMJoPZbEZBQQGnREKuBfBOJkxNq0A3ba5A/GPGx8dRXV3tJFYaKNhKhxEPnZmZGc5apAMF8VaZm5tDTU1N2BGJuxqJJ/2woaEhWj+MEAuRlve0zne/+1189NFH+PDDD1kTVF1NhNXQoj8+8MePH0d2djbS0tIwNDREzzSwOSvhis7OToyNjSEhIcGt/zYTbBTaHQ4HrdW0efNmv1IRFosF999/P/76178CAL7xjW/gf/7nf1irYzCNw6KiorC4uBhUnSUQaLVaOBwOREREuD3xEdc/V+/41YTD4UBnZyc0Gg2qqqo43bT9HZYk1zQ3N4fq6uqw2bQ7OjqwsLAQkNEW19fU3t4OrVZLRySBgHwfRPVYKpXSUT0zXexwOPDQQw/h7bffxqFDh1a0HZhLrDkyIe2D8/PzUKvVIfWh+wOVSoXGxkbI5XKcf/75fhXaQ/EgIZ7oJpMJlZWVfj34c3NzuOmmm3D48GEIhUI8/fTTuPvuuwNe29s1kR57ck3MOotKpYJAIPBZZ2ETdrudbtesqqoKi82ItEjr9foVvyZPzpKkcEzmI8LhcyKnf51Oh+rq6rCQkQmVSFxht9vpdLFKpYLZbMYbb7yB7OxsqFQq/Pvf/8aHH36ITZs2sfQOVh9hRSaAZx94glOnTkGv10Mmk/mtQxUshoeH0dPTg9TUVFitVq9ClEwiCSYaAZaEEZubmyGTyVBWVuZX/nVgYABXX301enp6EBUVhT//+c/YsWNHwGt7ApnXEIvFHnXGPOmGMessbILZjhwuUiQ2mw3Nzc1wOByorKxc1Wsi6bDp6WmMjo7CbrcjJiYGKSkpnHWH+YtgZza4BFFB1mq1nJAb0Q979tln8dZbb6GzsxO5ubm46qqrcOWVV+K8884Li3s4VIRdzYT4SrjD/Pw85ubmEBkZiS1btnB2+iVpAdJdYjAYMD4+7vH32SASIoyYkpLiU9OLifvuuw89PT1uO7ZCBekii4+P9zqv4avOwsY8CwFRIo6MjERpaWlYTJBbLBY0NjZCKpUGpY7MNgQCASIiIjA/P4/o6GgUFRXRZM9Fd5i/cDgcUCqVMJvNnxkiAc5+HyKRCDMzMzhy5AgmJibwn//8BzfeeCP+7//+D7W1tayvu9IIu8jEYrG4JZPx8XFajiI+Ph4FBQWcra9UKmGxWFBVVQWFQoGpqSkMDg6ivr7e6XeZhfZQOrampqbQ0dGBDRs2IDMzM6DXGBkZwbe//W389re/ZXWCmXh+BNJF5g6ueX2FQhF0nUWr1aKxsREpKSlBS5mzDeLWGB0dTft+rDYsFguampogkUhQUVHhRG6e0mFcD0va7XYolUrYbLZVj9wIKIqih4C5TLdRFIVnn30WTz/9NN577z1UVVXRPyOzZ+FwL4eKsCcTUoweHx9HRUUFrQRaXFzM+to6nY42BCovL6cL7TMzM+jt7cW2bdvo32Wj0E46kYaGhsLCppWAzEYUFRWx2tjgqc5CFF29negJueXk5LCiasAGyP1CoslwuCaz2UyrMpSVlflUrSbdYUwpfbaHJe12u1MKcDWkbVyxkkTy29/+Fj/72c9w4MABbNmyhZN1wgGr/626gJnmcmcwNTc3B6vVyvq6pG/cXYuxazsyG4V20s0yNzeH2trasOhEYrbZutP9ChWe5ll6enq81lmIoRXb5BYKyNAmm3LtocJoNOLMmTN+y8j4MyxJiCXYdJjNZqOl9sONSBYWFlBTU8Mpkbz00kv46U9/in379p3TRAKEIZkQkFNfZGQk6uvr6ZuQDbdFJvzxOmFK0LMxiEhSaQ6HI2ArW67AbGldiYE2d3WW2dnZZXUWq9WK0dFRVFRUICkpidNr8hcqlQotLS2cD20GAjK4m5SUFHQK0NOwZHt7O+x2e8DpMOLZIhKJsHnz5lWvJQErSySvvvoqHnvsMfz73/9GQ0MDJ+uEE8KSTMggYlZW1jKpDrZ84AHn2YmamhqP5jtEgp4NIuFazyoYECkaItW+0u2jAoEAUVFRiIqKQm5uLq0bNjw8DKPRCLlcjrm5OYjFYk7mWQIBiZJKSkrCZmKZ1JLS09NZ0yMLdVjSarXSTQnl5eVhcZ+TIcmVIJK//e1vePDBB/H222/jggsu4GSdcEPYkcnAwAB6e3tRWlrqtqDsTk4lGJD2UqvVivr6eq/zHITAQiUStVqNlpYWZGZmIj8/PyxSI8SoSSaTrZpUuyukUinm5+cBAHV1dTAYDJidnaXbgf2ts7ANpjhiuERJxGohJyeHM8XZQNNhNpuNns1ytbVdLRAimZ+f57xG8o9//APf+c53sHfvXlx88cWcrBOOCLsC/ODgICIjIz0OIk5PT6O/vz+ksJGk0KKjo1FWVuZzot1kMuHjjz9GfHw8kpOTkZKSEvDNODY2RotDhkveX6vVoqmpiU6NhMNDTwytbDYbNm/e7PQ5r/Q8CwFFURgYGKDVqMNBHBFYakpobm5eVWFLZjpMpVLBZrPRrbAVFRVhMSTpSiRcXtNbb72Fu+++G6+//jo+97nPcbZOOCLsyMSXD7xKpUJnZyfOP//8oF7fWwrNFcxCu8FggEqlwszMDBYXF+mcfkpKik+dLuI/XlFR4ZeP9UqA5P1zc3PDpjuKaWjF7KZzB4qi6DrLzMwMtFotq/MszHWIplVVVRWnHhuBgCgkFxYWhs3hxGg04vTp0xCJRBAKhZx1hwWClSSSf//737jjjjvw17/+FVdddRVn64Qr1hyZzM3NQalU4qKLLgrodZmFdn+0vJgezq5pLbPZTG9iGo0GkZGRSElJQUpKipO4m81mo+U1KisrV9RFzRvGxsbQ09Pjt4DkSoAUkH0NSHoC+U7IPItcLqcnvoOtsxCJjcXFRXrmKBxA6jbhpJBsMplw+vRp+vsTCARutcNC7Q4LBES7jTSVcEkkBw4cwFe+8hXs2bMH119/PWfrhDPCjkzsdrvXmohWq8WJEydw2WWX+f2apNA+OzuLyspKn2mKQArtRJKahPkSiQQpKSmIi4vDwMAAfcoOlyEtomYbTlESabNly9AqlHkWAjJkR4ZXw2FaG1ga3u3u7kZ5eXnY1G1IS3JCQgKKiorcfn+u6bBgusMCwUoSyQcffIAbbrgBv/vd73DzzTeHRZS/GlhzZGIwGPDxxx/7rT9FpoHtdrtfwolkEDGYQjt5YMbHxzE7OwuhUIi0tLQVEz/0BnLKXlhYQGVlZVhIkAPcG1oFU2chLa1CoRCbN28Oi6YEYEkrbmBgAJs3bw6bg4DBYMCZM2eQnJzs9+Am18OSK0kkhw8fxrXXXovnnnsOd9xxx2eWSIA1SCZmsxkffvghLr/8cp9hMmmZjImJ8avQTiISILiJduCsRWtubi5iY2PpdJjVaqUflkBNdEKF1Wp1mkAOl1M2SbeVlJSsSLqGWWeZnZ3F4uLiMgFEk8lEzzeFi/YXGSYdGRlBZWUlpyrZgUCv1+PMmTNITU0NyUuIzXTYShLJsWPHcNVVV+Gpp57C1772tc80kQBhSCYOh8PrhLvNZsN7772HSy65xOumODMzg5aWFmRnZ/tMnbhOtAcrjUJOjqWlpU4WrcyT2MzMDPR6PRISEuhNjMuhRYPBQAsjlpWVhc3mODAwgJGRkVU9ZbvWWWQyGSwWC+Li4pZpWq0WmN7o1dXVYdMAoNPpcObMGVZnWwD33WEkkvSVDiOujWq1mnMiOXXqFL74xS/ixz/+Mb7xjW985okEWINkQlEUDhw4gAsvvNBtyoqiKNo0y9Osiuvveyq0B3LNnZ2dUKvV2Lx5s09nPYPBgJmZGbozjJyOfXWGBYqFhQU0NTVh3bp1nLlQBgpifaxSqcKqO2pubg5NTU2Qy+W0pw5Jha30PAsBOWWr1WpUV1eHTQOHVqvFmTNnOJeSCSQdxiQSrg3Ampqa8LnPfQ6PPvooHnjggbB4rsIBa45MAODgwYOor69fthGRugDZqHylA9iYaCf6YWQuItDTkLvOMNJyHB0dHfSNStJtqzmD4IpwNLQCzopIkjZph8OBhYUFzMzMrOg8CxPMTrJwcSIEgMXFRTQ2NiI7O5uzIUlP8JQOS0pKop8fromktbUVV1xxBb73ve/hoYce4omEgbAjE3/cFj/44ANUV1c7kQWz0O7PRhVKoZ2AmUIqLS0NuVBrs9noWRZmZxjpDvP3Gol3vGu6bTURjoZWwFnS9TSv4U+dhW0Q0iXuiOGg3QacnbYnpLuaYKbDJicnaSn9tLQ0zqT0Ozo6cMUVV+De/9/euYdFXeb9/z2gGHJGYBQVFVGR8wDW2qbJRiJymNHKNLPMdre9Up62nnZ9SqttXWvTyta6NLPnSb2s1XQGxRQsFTzWqpwJUUE56AzDcGZggDl8f3/4u78OCggz8535Dtyv6+qPRnFuTvf7e9+fz+f9fvVVvPfee1RI7sEuxeT06dMICwtjXW3JsdvT0/OBdQFLFdrJvIu/v/8Dhx9NgfyykKdjAOyJpa/OMIZhcO3aNSgUCl4Vaknmh6urK2+K2sDdNtvBiG5v8yzk+2IJ3zBi1066D/kiuk1NTSgoKMDUqVN5c9I1HiidOXMmWltbObPSv3btGhITE7Fy5Up88MEHVEh6wS7F5Pz585g2bRr8/PxQV1fHXlE8yO/KEoV24G7ex4wZMzBhwoRBf/xgYRgGzc3NbJ2lt84wkj+uVqt5NSBJOuqEQiFvMj8AoLKyEjdv3kRkZCS8vb1N+jfunWcBzKuz8LUlmdi2TJ8+3So/7wOBCIlKpUJsbGyPqy1LD0tWVFQgMTERzz77LDZv3mwz26EPP/wQMpkMZWVlcHZ2xqOPPoqPPvqIs6DAwcI7MQEenAP/yy+/ICAgAJ2dnaioqEB4ePgDJ7mN6yMCgcCkHwiGYVBRUYGamhpERERYPO9joGtQq9WssLS3t8PT0xMajQZOTk6Ijo7mzdMsHwOtjLujRCLRA5slBoq5dRYS/Ttq1CjeuOwCd8xJCwsLMWPGjF7jGWxBf0JyL+Z0hwF3HjoSExORkpKCrVu32tS/bsGCBVi6dClmzZoFnU6HdevWobi4GKWlpbyYG7NLMbl48SIMBgN7p2yNQjt58m9ra+PV0B9xIhYIBNDpdJx1hg0WhUKBK1eu8Mo7yjizhcvuqMHWWchsC7kG5IPhJnB3oHTmzJkWjYQ2h8EISW8fe293mLu7ew8/N+O94fbt25g/fz7mz5+P7du38+b7QlCpVPDz88Pp06d5YXPPSzHpKwceuCM0586dg6OjI37zm99YpdDe1dWFgoICODg4IDIykjdDf6RuQ2xIuru7OekMGyyVlZW4ceMGryw/jIvaIpHIqt1RfdVZyIklPz+/h6cVH6irq0NxcTGv/L9ITZDkD5nbtdXbdZhSqYSjoyMiIyMhkUgwZ84c7Ny5kzcnRWPKy8sxbdo09vtka+xKTEihXSAQsIXvvrBUob2trQ0FBQUmGxByBTH766tu01dnmK+vLzw9PTn5PMgve21tLaKionjTAEDat4kDgC2vAXU6XY/GCp1OBxcXF0ydOhU+Pj682LSUSiVKSkoQHh7Om25AYyHh4lRJrsN27tyJ7du3o729HUKhEO+//z6Sk5N581BEYBgGYrEYTU1NOHv2rK2XA8COxESpVKKoqAiBgYHQaDQYOXJkn4UnMohoMBgAmC4k5JhPgof48NRIhjJv3rw54Cd/g8HAForr6uoAPLgzbLAYe39FR0fzpgHA2NaeL1PtwJ15DeJpNXLkSLbOQpwRfHx8bNISTK4nw8PD4evra/X37w2uhcSY+vp6JCYmIiAgAA8//DCOHj2KgoICrF27Fhs3buTsfQfL6tWrcfToUZw7d443TRG8FBOtVssKAbHeuHHjBltoLysrg8FgQEhIyH0fa6lCe01NDcrLy3ll006mx4n7sSnFY+POMJVKhe7ubowZM4bdwEx5ajcOtOKT9xdxs/Xw8EBoaChvTpWkzdZ4XqOvOgsRfWvU6ORyOcrKyhAZGWmT5pLeIEKiVCoRGxvLqZA0NjYiOTkZU6ZMwf79+9mfY7lcDrVajenTp3P23oMhLS0Nhw4dwpkzZ6w+ONofvBYTvV6PX3/9FY2NjYiOjmY3z/Lycmg0GoSHh/f4OEsU2g0GA9u7zqerGp1Oh6KiInR1dSEqKsoiU769dYZ5e3sPKk3SOPb3QYFW1oSvLcmkO+pBbbb91VkGM8A6UIjpZlRUlMmt0paGdN7V1tZyLiQtLS1ISUmBUCiETCbjzaCoMQzDIC0tDenp6cjJyen3mt8W8FZMyKAbgPsKpjdv3kRLSwuioqLY1yxljVJcXGzRDdsSdHZ2oqCgACNHjuQ0G4VkrdfV1aGlpeWBk94k0IrkWPDlyb+5uRn5+fms5QdfhIQUtUNCQgbVHaXX69HQ0MDWvwDL+oaRUzifrO2tKSRtbW0Qi8Vwd3dHRkYGb6xr7uXVV1/Fd999h8OHD/e44vfw8ODFXsVLMWloaGBT23qbmK6uroZKpUJMTAxbaDe3Y0uj0bBGf3x6wlar1cjPz7f6ht3d3c1ehTU0NGD06NFsy7GbmxtaWlpQUFCACRMmPHBY1JqQOte0adMwceJEWy+HhdQizLW4IdeURPTNrbMQp+uBhMZZC2MhiYmJ4fSKr729HYsXL8bIkSNx5MgR3rT890Zfv2PffPMNVq5cad3F9AIvxSQvLw8PPfRQn46kt2/fxq1bt/Dwww9bpNBOkv7Gjh2L6dOn8+YJm8yQBAQEcOrO+iDu7QxzcHCATqfDhAkTePX1UigUKC0tRWhoKG/qXMCdJ//r169bvBbxoDrL6NGj+/2ZuXnzJqqqqnpcIdsakgZKLPe53Nw1Gg2efvpp6HQ6ZGZm8sbB2l7hpZgYF+B7Q6lUoqKiAg8//DDb9WXqhkaeGPn2JEssW2bOnMmboT/gzqnw+vXr8PT0hFqtBsMwNrdqJ+sqLy/nVfEYuGvbYo0n/4HWWUhTS01NDWJiYuDm5sbpugYKERK5XI7Y2FhOhaSzsxNLly5FW1sbsrKyeFMbtWd4KSY6nY6dD+kNlUqFkpISdnDJlCd244Cm8PBw3vSRG6/LHN8oS9NboBXDMKyFSF1dnUU6w0xZV0VFBW7dusUrc0vjddniyZ/UWYi4AGAtRFpaWngXtmVNIenq6sLzzz8PpVKJn376iTd1InuHl2LSX3QvwzDQaDQoKipCS0sLPDw8IBQK4evrO+AilF6vR2lpKZqbmyESiXjzC2UwGFBaWoqmpiberYsED/W1LuPOMGJV4eXlxRbwuShqkkAklUrFq6AtYzdbrq9qBroe0g4ul8uh0+ng5eWFsWPHcp70OdD1WUtItFotXnjhBVRVVeHkyZO8OsXaO3YjJr0V2kmRuK6uDk1NTXBzc4Ofnx+EQmGf3R8kVwMAIiMjbf6LRNBqtSgqKoJWq4VIJOLNuvR6PYqKitDZ2TkoGxKNRsN+b0hnmCVnJgwGA+uVFh0dzYtuFuDOzyl5IOA6qGkwGAtcSEgI61FlXGexlF37YNdVUVGB27dvcy4kOp0Oq1atQllZGbKzs3kzlDlUsAsxGchEu7EvVUNDA1xcXFhhIb8garUaBQUFcHd3R2hoKG+moUknmbOzM8LDw3nTSWapQKt7vzekM8zX1xfu7u6D3rz4OiRJBE6tVvMqSdI4/vdeTytrz7Pcuy5rCYler8crr7yC/Px8ZGdn86pBY6jASzExju69N4NkIIV2rVbbo/vooYcegpubG+rr6xEQEMCrVtbW1lbk5+fDz88PM2bM4E1nFJnzcXNzs6jw9uYZRk4sA/EMI4maI0aMQGRkJG+EV6/Xo7CwEN3d3YiOjuaNwBmflGJjY/sVuL7qLFw0V1hbSNLS0nD+/Hnk5OTwxkp/qMFrMSEnEr1eb5Z1fFlZGeRyORwcHDBq1Ch2XsISyXjmQGYiAgMDMWnSJN4JHNfT4waDoYfpIcMw8PHxgZ+fX6+bF7Fqd3FxQXh4OG+EV6fToaCgAAzD8CqS2JwceeN5FpVKhc7OTtYdwRJ1FtKcwHUTgMFgwOuvv46TJ08iOzsbkyZN4uy9hju8FZPu7m6zJ9qNY2wjIyPh7u6OxsZGKJVKqFQqODo6ssLi5eVl1c2czB7wyfsLuDvbMmXKFKsK3L2dYV1dXayw+Pj4sOFRY8aMwcyZM3kjvFqtFnl5eRg5ciSvjCSNr9xiYmLM2vz7m2cxpc5iTSFZu3Ytjhw5gpycHAQGBnL2XhSeismJEycAALGxsRg5cqRJG4dOp2PzK6Kiou4ryBsMBjQ1NbHCwjAMKyze3t6cPfWSzpXbt28jKiqKN1PHwN2hP1vPtvTWGQaAdQHgS1G7q6sLeXl5GD16NK9OSgaDAUVFRdBoNIiJibH4lZs5dRZrCsk777yD77//npc+VkMRXorJhg0b8Mknn8DFxQUpKSmQSCR49NFHB3w/TswHnZycBuRlxTAMmpqa2KdivV7P3uNb8q6YGFe2trbyKq2RYRjWVoNvQ38NDQ0oKCjAmDFjoNVqOekMMwVSU/Lw8OBVzg3pviO1G66v3AZTZ7GWkDAMgw0bNmDXrl3IyclBcHAwZ+9FuQsvxQS4IwgnT56ETCbD4cOH4eDgwArL3Llz+/wlIZ5Rvr6+CA4OHvQvOcMwaG1thVKpZAfxjK9bTC34dnd3o7CwkL1X51OBlgRaWTIT3RKQkCbjk9K9aZLOzs5mdYaZAjG49PHxQXBwMG+u3EgTAOlys3btpr86S0dHBztHwrWQfPTRR9i+fTtOnTp1n7M4hTt4KybGaLVanD59GgcPHsShQ4eg1WqRnJwMsViMuLg49j747Nmz0Gq1mDp1KgICAsz+JSfXLURYNBoNO+FNQo0GQkdHB/Lz89mMb77dq7e2tvIq0Aq4a4neX0iTTqfr4aZrXAPjKk2SWNv7+/sjKCiIV0KSn58PhmEgEols3uVmXGepqalBV1cXXF1d2UFJLuZZGIbBli1bsGXLFpw8ebKHqziFe+xCTIzR6XQ4d+4cKyxqtRqJiYlwcHBAeno6srOzOXsaMc7+UKvVrFurn59fnycNYiI5btw4TJ8+nTebD4my1ev1vJrVIEmSlZWVg7JEH2xnmCm0tLQgLy+PTd7kCzqdDvn5+RAIBBCJRLx5WAHAWvBERESwg6wkb904RtoSD35ffPEF/vnPf+LHH3/ErFmzLPQZUAaK3YmJMXq9HmfPnsWrr76Kmzdvwt/fHyKRCBKJBAkJCZzep3d0dLDC0traCk9PT9bWhbRgKpVK/PrrrwgKCkJAQABnaxkspKZE7Pb5svkYX7lFR0ebbEDYV2cYucs35fqnsbERBQUFvPtearXaHnM3fPleAnddie81k+ytzmKO8DMMg6+++grvv/8+MjMzMXv2bIt+HoPlzJkz2Lx5M3Jzc6FQKJCeng6JRGLTNVkDuxaThoYGLF68GO3t7Th06BDkcjkOHjyI9PR0yOVyxMfHQyKRIDExkdNaQGdnJ+rq6qBUKtkCsZOTExoaGhAeHm5WfoWlsVU+yoMgvmTNzc0WvXIj1y3GJ8rBeoaReaAZM2bwauBNq9UiNzeXTbm0ByG5F3PnWRiGwa5du/DWW2/hhx9+wNy5cy39qQyazMxMnD9/HtHR0XjqqaeomNgDt27dwj/+8Q+284tgMBhQWFgIqVQKmUyGGzdu4IknnoBYLEZSUhKnNhGdnZ0oKSlBc3MzAMDV1RVCodCmnUcEcuXGt0ArY/+v6OhoTn3JNBoNW8Bvbm5m/dz6+v7U1tbi119/RVhYGIRCIWfrGizd3d3Izc2Fs7MzIiIiePNQAAxcSHqDCP9A5lkYhsG3336L//7v/0ZGRgbi4uIs/amYjUAgoGIyVCB2EgcPHoRMJsOVK1cwb948iMViJCcnw8fHx2Kbql6vR3FxMTo6OtgiqEqlglKp7OEX5ufnB1dXV6tu5nV1dSgpKeFdbotWq2WNN609Pd5bZxhpOXZ3d4dcLsfVq1cRERHBm4gC4M6cR25uLtvQMVSE5F66urpY6x1SZ/H19UV1dTXmzZuH9PR0rFmzBlKpFAkJCRb6DCwLFZMhCokDJcJSWFiIxx57DGKxGKmpqRAKhSZv8F1dXSgoKICjoyMiIyPv2xSJJ5VSqWT9woiwcN3SSjqjzI2MtTRk6I8PtZt7O8OAOw8HpEbClw27s7MTubm5vJtvAcA2TnARuEXqLCUlJVi+fDnr1ZeWloa3337b5qf+vqBiMgxgGAY3b96EVCpFeno6Ll68iNmzZyM1NRVisRjjx48f8AZP6hCenp4IDQ194C84+cUgwjJixIgeLa2WEhZipldTU8OrjG/gTgNDXl4ePD09ebUpkhCwqqoqjBkzBs3NzTAYDJwMsQ4WjUaD3NxceHl5ISQkhDfXlAC3QnIvGRkZePfddxEaGorS0lJUVVUhPj4e33zzDe9s5amYDDMYhkFNTQ1kMhnS09Nx/vx5xMTEQCKRQCwW9+tR1djYiMLCQkycONGkOoTBYGCfiFUqFQQCQQ+/MFM3WYPBgCtXrqCxsZFXQVvA3VmNsWPH8qpdmpxcFQoF203WW2eYKbNG5qLRaHD58mXeeZMBd4XEGomSWVlZeOGFF/B///d/WLJkCQCgrKwMx44dw2uvvcarJgSAismwhmEYtp1PJpPhzJkzCA8PZ4XFeFCtsLAQ9fX1mDFjBiZMmGD2exO/MLJxkXx18kQ8UGExNdDKGjQ1NaGgoACTJ0/G5MmTebMpktTG+vp6REdH93pt0ldnGPkecfV17ujoQG5uLnx9fTl1cTYFknEfExPDuZCcOnUKS5cuxY4dO/Dcc8/x6uvQF1RMKADubB719fU4dOgQpFIpTp06heDgYKSmpkKpVEIqleLnn3/mpKBtHLVaV1cHnU4HHx8fCIXCfq9aSN5HX7UbW0JabKdPn24R8bUUxlbtg0lt7KszzNfX12Inwfb2dly+fBnjxo3DtGnTeLWBEj83awjJmTNn8Mwzz2Dr1q1YuXIlr74O96JWq1FeXg4AEIlE+PTTTxEXFwdvb29ezShZGiomA4SYQcpkMmzYsAEqlQphYWGIi4vDokWLOO2qIX5hZJaFDOEJhcIefmHGgVZ86/KRy+W4cuUK71psjR12zWlLJp1hKpUKDQ0NFmmwUKvVyM3Nxfjx43nVyg1YV0guXLiAxYsXY9OmTXjllVd49XXojZycnF7blF988UXs2rXL+guyElRMBkFbWxueeeYZKBQK/Pvf/0Z+fj6kUimOHz+OcePGITU1FYsWLYJIJOJUWIiti1KphEajgbe3N9zd3VFTU8M72xbgzsZTUVGBqKgoeHt723o5LHq9HgUFBayljKVOcb15hpGrsIHWwdra2pCbm4uAgADe5XBYU0guXboEsViMDRs2YM2aNbz6uab0hIrJIPjll1+wceNGfPvttz1+idRqNY4dOwapVIrMzEx4e3sjJSUFixYtwqxZszgtCra3t6OyshJyuRzAncwPMiRpa78t0k1269YtiEQieHh42HQ9xpD5FpJvz5Ux4r11sIF0hvHVAwy4KyTR0dGcfz/z8/ORnJyM9evX44033qBCwnOomFiYjo4OHD9+HDKZDD/88ANGjx6N1NRUSCQSzJ492+KbFgm0CgkJgaenJ+twTPzCyFWLtYvwDMPgypUraGho6LOgbStIaqO1bUhIZxips3R2drKdYT4+PnByckJzczPy8/PZKGc+UV1djYqKCqsISXFxMRYuXIg333wT//M//0OFxA6gYsIhnZ2dOHHiBJvJMmLECDaTZc6cOWZdqzwo0Ir4hZHisLu7OyssXFvNGwwGFBcXo729HdHR0bzqJiM58raeHu+tM8zV1RVqtRqBgYG8u9qyppCUlpYiMTERa9aswbvvvkuFxE6gYmIltFotcnJyWOt8nU6HlJQUiMVizJs3b1CF38EGWnV3d7ObVmNjI1xdXXvYulgSnU7HWtvzKQQMuDsoycehv9raWpSUlMDZ2RkajaZHZxgX2R+DwZpCcvXqVSQmJmLVqlXYuHEjr75HlP6hYmIDSCbLgQMHcOjQIbS3t2PhwoWQSCR44okn+m1NJdG/bW1tEIlEgz5laLVa9pqloaGBTSoUCoVm+4WRtmRih27rgCZj1Go18vLyIBQKedegUF9fj6KiIgQHB8Pf3x/d3d2sJ5WlOsNMxZpCUl5ejsTERCxbtgybNm3iVTci5cFQMbExer0eP//8M3tiaWxsREJCAiQSCebPn9+j1tDV1YXi4mIYDAaLPPUTvzDSdeTk5MQKy2A3LT63Jbe2tiIvL493bsnAndmboqIihISEYNy4cff9uV6vR319Pdt2bEpnmKnU1NSgvLzcKlY8lZWVWLBgAcRiMf71r3/x6ueHMjComPAIg8GAS5cusZksCoUCTz75JCQSCUJCQvD888/jL3/5C5YuXWrxojHxCyO2LiQCVygUPtAvjDz1+/r68ioTHQBb0J4yZQomT55s6+X0oK6uDsXFxQOevTHuDFOpVNDr9aw9u4+Pj0V/JqwpJLdu3UJCQgISEhKwbds2KiR2ChUTnmIwGFBQUACpVIp///vfUCgUCA8Px6pVq5CamgoPDw/ONm3jCNy6ujoIBAL4+vpCKBTe9zTc0tKC/Px8TJw4EYGBgbwSkoaGBhQWFvJu4h64m5Niania8SBrX51hpmJNIVEoFFiwYAHmzJmDnTt38s5bizJwqJjwnHPnziE1NRVLliyBUChEeno6ysrKEBcXx2ayjBkzhlNhIbYuSqUSBoOBvb8H7rRw8i3KFrj71N/X9ZEtUSgUuHLlikVzUtRqNVsLa2trY9vCfX19B2wPA9w5JVy/ft0qQqJUKpGYmIjY2Fjs3r2bComdQ8WEx7S3t2PatGl477338MorrwC428lFUiQLCwsxZ84ciMVipKSkmJXJ8iDInIRSqYRCoYBWq4WHhwcmTZpk8WsWcyCbNd/yWwDg9u3buHr1aq/t3JaCtIWrVCo0NTX16N7rrzPMmkJSX1+PhQsXIjQ0FN9++y2vmjUopkHFhOc0Njb2aUFCsjdIJsulS5cwe/ZsiMViiMVi+Pv7cyIsNTU1uHbtGqZNm4bu7m4olUp0dnbCx8eHvWaxlcEkCQLjcrM2FbI2a9rK9NUZ5uvr2+OqlKwtOjqacyFpbGxEUlISAgMD8f333/PKjJRiOlRMhggkk4UIy4ULFxAbGwuxWAyJRIKAgACzhYUEilVVVfV4eiUDeGT6vr29vUfmh7VmTYgdOt+CwIC7Lba2XNu9TRYODg7w8/ODQCDA7du3ER0dDS8vL07X0NzcjJSUFIwbNw5SqdRkY00K/7ALMamsrMSGDRtw6tQp1NbWwt/fH88//zzWrVvHq6E4vsAwDORyOZvJcvbsWURERLCZLKa0xzIMg6tXr0KpVLLBUX1hPNnd1tYGLy8v9pqFi83D2APMGgFNg4WInDVmNQYK6Qy7efMmmpqaerQcc3Vl2draColEAg8PDxw+fJhXzggU87ELMcnKysL+/fuxbNkyBAUFoaSkBH/4wx+wYsUKfPzxx7ZeHq9hGAYqlYrNZMnOzkZwcDArLANp5SV5Hy0tLYiJiRlUQVej0bDC0tLSAg8PD1ZYBvPv9AWpIRGR41OiJADcuHED1dXVvBQ5Ur+JioqCo6Njj84wb29vi54s1Wo1Fi9eDCcnJ9azztZs27YNmzdvhkKhQGhoKD777DPMmTPH1suyW+xCTHpj8+bN2L59O27cuGHrpdgNJJPl8OHDkEqlOHHiBAIDA1nr/N7y60lqY1dXF0QikVkni66uLnbDampqYi1DhEKhSZsLwzAoLS1FU1PToEWOa0g9q6amxiq56IOFCIlIJLrvauvek6WpnWGEjo4OPP300zAYDDh27BgvBH///v1YsWIFtm3bht/+9rfYsWMHvv76a5SWlvKuM9FesFsxWb9+PbKysnD58mVbL8VuaWlpwZEjRyCTyZCVlQV/f39IJBJIJBJERUWhoaEBH374IZYtW4aoqCiLFkpJmBQpDLu4uLDCMhAvKoPBgJKSEqjVat6ZSTIMg/LycsjlcsTExPBi8zSmPyG5F1M7w4w//tlnn0V7ezuysrJ4czp75JFHEB0dje3bt7OvzZw5ExKJBB9++KENV2a/2KWYEK+gTz75BL///e9tvZwhQVtbG44dOwaZTIZjx46xd/sTJkxARkYGpxuiVqvtYetCOo6EQiHc3Nzu27CMT0vR0dG8qpsZX7vFxMTwynofuJN4WVZWZlJH2b2+bqNGjWKFpbch2q6uLixfvhwqlQo//fQTb5oiuru7MXr0aBw4cACLFi1iX3/ttddQUFCA06dP23B19otNxeRvf/sb3n///X7/zqVLlxAbG8v+v1wux+OPP47HH38cX3/9NddLHJYUFxcjPj4enp6eqKurg4uLS49MFi7nSYgXlVKpRH19PUaOHMkKi4eHB5uOyDCMxU9L5kKaFFQqFWJiYnhRFzDGHCG5l746wxiGQWBgIBwdHfHCCy+guroaJ06c4FWbtlwux/jx43H+/Hk8+uij7OsffPABdu/ejatXr9pwdfaLTSeF1qxZg6VLl/b7d4z9lORyOeLi4jB79mx89dVXHK9ueFJaWor4+Hi88MIL2LRpE7q6uvDTTz9BJpNh2bJlGDlyJJvJ8thjj1l8M3d0dIRQKIRQKIRer2dtXfLz8+Hg4ACGYfDQQw8hJiaGd0Jy5coVNDY2IjY2llf1G8CyQgKA9W7z8/NjO8NUKhXefvttnD9/HoGBgWhubsbp06d5JSTG3HuSYhiGV3ZA9obdXHPdvn0bcXFxiImJwd69e3kzbT3UaGlpgVQqxapVq+77M61Wi+zsbBw8eBCHDx+GXq9HcnIyJBIJ5s2bx+l1k0ajYetjer0eANjNzNvb26bmgAzD9Oh241P9BrC8kPSHVqvF73//e+Tn50MgEKCmpgbz58/HqlWrIJFIOH3vgUKvubjBLsSEXG0FBARgz549PYRk7NixNlzZ8EWn0+Hs2bM4cOAADh8+jI6ODixcuBBisRjx8fEW3VCJvb2HhwcbatXc3MwOSRL33P5y1bmCtE23tbUhJiaGd0N41hQSvV6PtLQ0XLhwAdnZ2Rg/fjzKyspw6NAheHp64k9/+hOn7z8YHnnkEcTExGDbtm3sayEhIRCLxbQAbyJ2ISa7du3CSy+91Ouf2cHyhzx6vR4XLlxgM1mampqwYMECSCQSPPnkk2YVodvb25GXlwcfH59eZ2KIey4Rlu7u7h62Llx6PpF44o6ODkRHR/NOSIhHmTWsZQwGA/785z/j1KlTyMnJ4X17LWkN/vLLL9lr8507d+LXX3/FpEmTbL08u8QuxMQWbNy4EUePHkVBQQGcnJzQ3Nxs6yXZBQaDARcvXmSFRaFQYP78+RCLxUhMTBzUvEVbWxvy8vIwbtw4TJs27YH32QzDQK1Ws8Ki0Wh62LpYssZiMBhQVFSEzs5O3nWUAdYXkr/+9a84evQosrOzeZdf3xfbtm3Dpk2boFAoEBYWhi1btmDu3Lm2XpbdQsWkD9577z14enri1q1b+N///V8qJiZgMBiQn5/POhxXVVUhPj4eqampSEpK6jeTheSkBAQEYMqUKSYVRtVqNTt8p1ar2aluPz8/szZ/vV6PwsJCaLVaREdH86oRALC+kKxfvx4HDx5EdnY2pk2bxun7UfgLFZMHsGvXLvz5z3+mYmImDMOgpKQEBw8ehEwmw7Vr13pksnh7e7OCUV1djfLycovmpHR0dLDC0trayk51+/n5Daq+Q1qT9Xo9RCLRsBYShmHw97//HXv27GFteijDFyomD4CKieUh8xjkxFJUVIQ5c+ZAIpHAwcEB69evx/HjxxEeHs7J+5OpbqVSiZaWFri7u7OzLP219Op0OnbGRSQS8S6Dw9pC8s9//hM7duzAqVOnEBYWxun7UfgPFZMHQMWEW4iH1cGDB/H111/j5s2bmDt3LpKSkpCamspZJguhq6sLKpUKSqWStQsRCoWsXQhBp9Oxsy7EGJFP1NbWorS01GpC8umnn+Kzzz7DyZMnERUVxen7UewD2zXn24C//e1vEAgE/f5Hvb6si0AgwNSpU+Hr6wuFQoGdO3ciOTkZhw4dwsyZMxEfH4+tW7eiqqqKk869UaNGYcKECYiJiWHbz5ubm/Hzzz/jwoULqKioQFNTEy5fvgxHR0deC0lERIRVhOTzzz/Hli1bkJWVRYWEwjKsTib19fWor6/v9+9Mnjy5xx06PZlwj0KhgEgkwr59+zBv3jwAdzNZZDIZZDIZzp07h8jISDZF0pRMlsGg0+lQX18PhUKB+vp6ODg4YMKECRg7dizc3d15MyltLCSWypPvC4Zh8NVXX+H9999HZmYmZs+ezen7UeyLYSUmpkDFxDq0t7f3OY/CMAzq6urYTJacnBzMnDmTTZGcMWMGJ5t7d3c3cnNz4ezsjLFjx0KlUqG+vh4jRoxgi/eenp42ExalUomSkhJERkZaRUh27dqFt956C0ePHqW5H0bs2bMHr7/+OuRyeY9Zo6eeegouLi7Ys2ePDVdnPaiY9EF1dTUaGxuRkZGBzZs34+zZswCAoKAg3lmKDycYhkFjYyObyXLy5ElMnTqVzWQJCQmxiLVKV1cXcnNz4erqirCwMPbfNBgMPQwOBQIBKyxeXl5Ws3UhQhIREQFfX19O34thGOzduxdvvvkmMjIyEBcXx+n72RsajQbjxo3Dzp078cwzzwC4cwsyfvx4ZGVlDZuvFxWTPli5ciV279593+vZ2dnsVYy50KQ382AYpkcmy/HjxzF+/Hg2kyUyMtKkzb2zsxO5ubnw8PBAaGhonycPYnBIWo4Zhulh68KVsFhbSL7//nukpaVBKpUiISGB0/ezV1599VVUVlbi2LFjAIB//etf2Lp1K8rLy3lzJco1VExsBE16szxtbW04evQoZDIZMjMz4ePjw1rnz5o1a0Cbu0ajQW5uLry8vFgfsIHAMAyam5tZYdHpdD1sXSxVtLemkACATCbDK6+8gu+//x5JSUmcv5+9kp+fj1mzZqGqqgrjx49HVFQUnnrqKbzzzju2XprVoGJiI2jSG7eQZD+ZTIajR4/Czc0NqampEIvFfWaydHR0IDc3t08fsIFC/MLILEtXVxcrLL6+vibPp1hbSH744Qe89NJL+Pbbb3nj+MtnYmJi8PTTTyMhIQGzZs1CZWUlJk6caOtlWQ0qJjaAWmBbF41Gw2ayZGRkYNSoUUhOTsaiRYvw29/+FiNHjkRxcTEuXryIxx57DNOnT7fY1QTxCyPC0tHRgTFjxkAoFA7KL6yurg7FxcVWE5KsrCysWLECu3btYusAlP7Zvn07tmzZgvnz5+P69es4fvy4rZdkVaiY2ACa9GY7uru7e2SyMAyD3/3ud/jpp5+wZMkSfPLJJ5zecbe3t7PColar4eXlxQpLX67DREjCw8Ph5+fH2doIJ0+exLJly7Bjxw4899xzw+bO31xaW1sxbtw46HQ67NmzB88++6ytl2RV+OUHMcygSW/Wx8nJCQkJCUhISMD27duxe/dupKWlwd/fH/v27YNarYZEIsHvfvc7TkKuXFxcMGXKFEyZMgUajQZ1dXVs5oiHhwc7fU/e29pCcubMGTz33HP44osvqJAMEnd3dzz11FM4evTosLwWpGJiA0hBtra2tsfrdXV1EAqFNlrV8KO4uBhr167FW2+9xcbNHjx4EG+88QZaWlp6ZLJwkefu7OyMSZMmYdKkSejs7GRtXa5duwZ3d3eMHj0atbW1iIiIsIqQnD9/nj2dvfjii1RITEChUGD58uW8y7axBvSay0bQpDfbI5VKcePGDfzlL3/p8brBYMB//vMfNpNFqVSymSwLFiwYVCaLKXR3d+PGjRuoqamBQCCAq6srO8vC1YzTxYsXIRaLsXHjRqxevZoKySBpbGzEjz/+iOXLl6O0tBQzZsyw9ZKsDhUTG0GT3uwDg8GAvLw81uG4uroa8fHxEIvFWLhwYb+ZLKaiUqlQVFSE8PBweHl5QaVSoa6uDg0NDXB2dmaFxc3NzSLvnZeXh5SUFLzzzjt4/fXXeSkkfA+rmzx5MpqamvDOO+/gzTfftPVybAIVExtCk97sC5LJcuDAAchkMly/fh1xcXGQSCRISkrqkcliKkRIwsLC7rvyJH5hdXV1qK+vh5OTEysspopaUVERFi5ciL/+9a9Yu3YtL4UEoGF19gAVk2HCmTNnsHnzZuTm5kKhUCA9PX1YFgktBcMwKCsrY08sxcXFmDt3LiQSCVJSUuDr6zvojVmlUqG4uBihoaEPrJ3p9foeti6Ojo49bF0G8t6lpaVITEzEmjVr8O677/JWSIyhXnn8ZVhZ0A9n2tvbERkZiS+++MLWSxkSCAQCzJw5E+vXr0dubi6uXLmCJ598Env37sW0adOQmJiIL7/8EnK5fEDW+YMREgCseISFheHxxx9HSEgIm0t/5swZlJaWoqGhAQaDodePv3r1KpKTk/HHP/7RboSEwm/oyWQYIhAI6MmEIxiGQVVVFWud/8svv+Dhhx9mrfMnTpx438Y9WCHpD4PB0MPWRa/Xw9fXF0KhEK6urnB2dkZ5eTkSExOxbNkybNq0yWrmlJaAnkz4i/38FFEodoBAIMDkyZPxxhtv4OzZs6isrMTSpUuRmZmJsLAwzJs3D59++ikqKirAMAwOHjyIzz//3CJCAgAODg7w9vZGcHAw5syZA5FIBCcnJ5w8eRITJ05EcnIyUlJSkJqaanMhoWF1Qws6Z0KhcIRAIMCECRPwX//1X0hLS4NSqWQzWf7+979j+vTpqKiowFtvvcXJHIlAIICnpyc8PT0RFBSE0aNHY/PmzWhtbcXu3buhVCqxePFiSCQSm8QqrFmzBkuXLu3370yePNk6i6GYDb3mGobQay7bQk4kK1asgEgkQl5eHoKCgiAWi7Fo0SLMnDnT4icGhUKBhIQEPP7449ixYweuXr0KqVQKqVSK/fv3Izg42KLvxxX0mou/0JMJhWJlTpw4gZdeegm7d+/GkiVL0NLSgoyMDMhkMmzZsgUTJ05khSUiIsJsYVEqlUhKSmLnmRwdHREaGorQ0FC8++67FvqsuIWE1VVXV0Ov16OgoAAADavjE/RkMgyhJxPbUlhYiGvXrvXqxtva2tojk8XX15eNJ46NjR20sKhUKiQlJSEsLAx79+412f7e1lgjrI5iHlRMhglqtRrl5eUAAJFIhE8//RRxcXHw9vamYVw8pb29HZmZmWwmi4eHB5vJ8pvf/OaBgVuNjY1YuHAhgoKCsH///gHb3VMopkDFZJiQk5PTaxb1iy++iF27dnHynh9++CFkMhnKysrg7OyMRx99FB999NGw9C0yF5LJIpVKceTIEYwaNQopKSlsJsu9J47m5makpKTA398fUqkUTk5ONlo5ZbhAxYTCGQsWLMDSpUsxa9Ys6HQ6rFu3DsXFxSgtLYWLi4utl2e3dHd34+TJk5BKpTh8+DAEAgGSkpKwaNEizJ07F52dnRCLxfDy8sKhQ4c4sdKnUO6FignFaqhUKvj5+eH06dPUg8xC6HQ6nD59GgcOHMDhw4fR2dkJJycnzJgxA8ePH4ezs7Otl0gZJtChRYrVaGlpAQB4e3vbeCVDhxEjRuCJJ57Al19+iVu3bmH//v0IDAxERkYGFRKKVaEnE4pVYBgGYrEYTU1NOHv2rK2XQ6FQLIx99glS7I41a9agqKgI586ds/VSKBQKB1AxoXBOWloaMjIycObMGUyYMMHWy6FQKBxAxYTCGQzDIC0tDenp6cjJycGUKVNsvSQKhcIRVEwonLF69Wp89913OHz4MNzc3FBbWwsA8PDwoMVhCmWIQQvwFM7oK3Dpm2++wcqVK627GAqFwim0NZjCGQzD9Pofl0Kyfft2REREwN3dHe7u7pg9ezYyMzM5ez8KhXIHejKhDCmOHDkCR0dHBAUFAQB2796NzZs3Iz8/H6GhoTZeHYUydKFiQhnyeHt7Y/PmzXj55ZdtvRQKZchCr7mGACqVCmPHjsUHH3zAvvaf//wHTk5O+PHHH224Mtui1+uxb98+tLe3Y/bs2bZeDoUypKEnkyHCsWPHIJFIcOHCBQQHB0MkEiEpKQmfffaZrZdmdYqLizF79mx0dnbC1dUV3333HRYuXGjrZVEoQxoqJkOI1atX48SJE5g1axYKCwtx6dKlYekY293djerqajQ3N0MqleLrr7/G6dOnERISYuulDTkqKyuxYcMGnDp1CrW1tfD398fzzz+PdevWUdv7YQYVkyGERqNBWFgYampqcPnyZURERNh6SbwgPj4eU6dOxY4dO2y9lCFHVlYW9u/fj2XLliEoKAglJSX4wx/+gBUrVuDjjz+29fIoVoQOLQ4hbty4AblcDoPBgKqqKiom/x+GYdDV1WXrZQxJFixYgAULFrD/HxgYiKtXr2L79u1UTIYZVEyGCN3d3Vi+fDmeffZZBAcH4+WXX0ZxcTGEQqGtl2ZV3n77bSQmJmLixIloa2vDvn37kJOTg6ysLFsvbdjQ0tJCYwaGIVRMhgjr1q1DS0sLtm7dCldXV2RmZuLll1/GDz/8YOulWRWlUokVK1ZAoVDAw8MDERERyMrKwpNPPmnrpQ0LKioq8Pnnn+OTTz6x9VIo1oah2D3Z2dnMiBEjmLNnz7KvVVVVMR4eHsy2bdtsuLLhywcffMAAYF577TVbL8Uk3nvvPQZAv/9dunSpx8fcvn2bCQoKYl5++WUbrZpiS2gBnkKxMJcuXcKSJUvg7u6OuLg4u2zPrq+vR319fb9/Z/LkyWy3oFwuR1xcHB555BHs2rULDg50hG24Qa+5KBQLolarsXz5cuzcuRP/+Mc/bL0ck/Hx8YGPj8+A/u7t27cRFxeHmJgYfPPNN1RIhin0u06hWJDVq1cjKSkJ8fHxtl6KVZDL5Zg3bx4mTpyIjz/+GCqVCrW1tWzcAGX4QE8mFIqF2LdvH/Ly8nDp0iVbL8Vq/PjjjygvL0d5efl9KZr0Bn14QU8mFIoFqKmpwWuvvYa9e/cOK9eBlStX9hk1QBle0AI8hWIBDh06hEWLFsHR0ZF9Ta/XQyAQwMHBAV1dXT3+jEIZalAxoVAsQFtbG6qqqnq89tJLLyE4OBhr165FWFiYjVZGoVgHWjOhUCyAm5vbfYLh4uKCMWPGUCGhDAtozYRCoVAoZkOvuSgUCoViNvRkQqFQKBSzoWJCoVAoFLOhYkKhUCgUs6FiQqFQKBSzoWJCoVAoFLOhYkKhUCgUs6FiQqFQKBSzoWJCoVAoFLOhYkKhUCgUs6FiQqFQKBSzoWJCoVAoFLOhYkKhUCgUs/l/RRi8wpbl4u8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习3.3\n",
    "v1, v2 = (4, 0, 3), (-1, 0, 1)\n",
    "v3 = add(v1, v2)\n",
    "print(v3)\n",
    "draw3d(\n",
    "    Arrow3D(v1, color = red),\n",
    "    Arrow3D(v2, color = blue),\n",
    "    Arrow3D(v3, v2, color = red),\n",
    "    Arrow3D(v3, v1, color = blue),\n",
    "    Arrow3D(v3, color = green),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ec85ddb1",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-4.440892098500626e-16, -7.771561172376096e-16, 7.9999999999999964)\n"
     ]
    },
    {
     "data": {
      "image/png": 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ejwcmkwkGg4Gbm0hNTeWIxZ/3RyIiXp1p0aSYohmOjHdEEsnagYiFKBsDnz9iSfxv1mcI4c6GCAHxUTcYDMjOzkZVVZUIZzoXQmokfMmVzZs3z6u/hkKh8Crcu1wuv94fJFpJT09P2C92okckoRDOcGQ8a1zkexgt/BHL5809UiKSeUAsLHABwGKxoL6+HgqFAosXLxZt8twfQkUkJpMJdXV1SEtLCym5Eov1faFSqZCfn4/8/HwAs4V7g8EAo9GI4eFhry4krVabMIORCyG1FS58hyNdLhdHLJOTk3C5XPj000+DOkfGArGShSH1E4JAxALMtmGTOksi3H+RQiKSGINlWVgsFvT393N+59HeMCzLYmRkBG1tbSgpKUFFRQX6+vpgtVpFOuu5CLSR842wAqkHi4Vo0j5qtRpFRUVcFxIpFhMbXPIUzS8WxwufNSLxhUql4rrzUlNTMTk5icLCQr/OkbEcjpyvtFogYjly5AiWLVuGrKysBe8eKRFJDMEwDFwuF+x2OwYGBkTxPCc+6nq9HtXV1dxTXqTtuULhj0g8Hg+am5thNBqxceNGZGVlhXW8cNcXCxRFIS0tDWlpaSguLuaKxQaDAWNjY+jo6EBycjLcbjdMJhMyMjLmrXAfrxpJPLW25HL5HOdIQvKxHI4UK7UVLgixMAwDlUrF/f+F7B4pEUkMwJ8NYVkWCoUCNE1H/WXl+6hv27bNqxMm1hIivnMq5FzUavUcI6xYIVbvj18sBk7m9Nva2jA5OYnBwUGkpqZ6TdzHUj7ksx6R+K7ru5nz277J7FAshiPjWegHZomMEIQ/90i+ydfNN9+Miy++GF/84hfjdr7BIBGJyGAYBh6Px0vmhH+TRHLD89NHS5cuxdKlS+ccJ9YRCZlT4afViKf7fGxA87nJkZx+UlISysrKkJGRwdVX2tvb4XK5uCdkrVYrqnzI5zEiCbYuRVHQaDTQaDRYvHixV1pyenp6znBkVlYWUlJSEn6GhdRNfR9I+Bph5HXArITN7t275/ckw4BEJCIh2GwIuSkiuXED+aj7Yj5SWzRNo6mpCTqdDjU1NVyHVKTHCxfx2mRVKhWXeuHLhxgMBgwNDYFlWa+NLNrC/ecpIgn3O+EvLWmxWGAwGDA1NcUNR/Kn7gMNR8bLg4WsDSDk+uS8rVarqHNhYkMiEhHgK3PiOxtCvijhbvTT09Oor69HWlpayPSRb+pJbBDxx5SUlDlptflAouSH/cmHkI2MWOCSjYykwsJ1KowHEim1FQ74w5GlpaVzBlU7OjoCDkfSNB232SIhhl4ERKKGrwyRaJCIJErwZ0P4veR8hEskQnzU/a0Rq01odHQUMzMzyM7ORk1NTdwKlIkoI89/QiZT3r7DeGq12msjC9Ua/XmLSMRcV8hwJPk8bDZb3NQPSOpbaERks9mQkpISy1OKChKRRIhwZkNIhEJunmBwuVxobGyE1WoN6qPui1iktmiaRnt7O8bHx5GWloa8vLyEHeJLFPD1v5YuXQqPx+Mldtjc3MwZSpGJe9/W0HggXlIlsV432HCkxWKByWSCTqcL6BwZK4Q7lCxFJJ9BROIbImSjD8dH3Rdip7ZsNhvq6+tBURS2bduGtrY2UTc5UrgXikSNSEJBoVAgNzcXubm5AE4aShkMBrS1tcHtdntN3MdLDTeeEcl8ppf4w5E2m42roQRyjoxVh56/QnsgkLZgiUg+QyBteeFOqJNecX+IxEfdF2JGJBMTE2hqakJRURGn27VQN/JEA99QihTuSUfY4OAgaJqGxWLh6ixCO5CiRbwILN4y8vzhSGCuc6TvcGRGRoZoMyxCicRisQBAVH5CsYZEJAJBUlmkKyvcCfVAG32kPur+jh/tRs8wDDo7OzE8PIzVq1dzA2JA/COCeK8fC/AL96S1lUSB/A4kvhVxrMy9FkrXlpjwN5Do6xwZq+HIcDrGiGKF1LW1wBGNBS6BPyKJxkddyPHDAXFTpGnarwR9rNuLJZyUyk9PT0dxcfGcQnFbWxtSUlI4UhEzn79Qu7aigRASCzYcOTg4CJZlIxqODGeq3mq1IiUlJaHrkxKRhEC0FrgEMpmMIyKxfNT5iKZGMjU1hcbGxqBuivGOCOK9/nyB/x59C8Vut5srFJN8vm/aJdJ8/melayvctcOdYQk0HOnPOTJYajLc1FaiiIoGgkQkASCWBS4BqZGI6aPORySpLb4N7sqVK1FUVBTwtYmwkcd7/flCoPtMqVTOKdyT+kprayuXdiGpsLS0NMH37OcxtRXtQKK/4Uiz2Qyj0eh3OJLMsJAOzs9K6y8gEYlf+FrginGjy2QyGI1GtLS0oKCgACtWrBC1GyTc1JPT6URDQwOcTuccG1x/iPXAYygk8tOYmAiHLJOSklBYWIjCwkKvtAsx9wIwx4rY33Uka0qpreggk8mQkZGBjIwMbjiSpCaJGChx8RQyCkAgRSQLDHyZEzF9Q0gkYjKZsGbNGtF81PkIZ6PX6/VobGyEVqsVXJsROyLxeDyw2+1hfUE+7xFJqL/hp118pUO6urq4CW8SsZDCPbmu8djQ45nairX6L3+miKw3PT2N6elpjI2NweVy4fDhw16txv4GJK1Wa0J3bAESkXAQo6DuD1arlUtllZWVxYREgJObQLAUBcuy6O3tRW9vL1asWIHFixcLfo9iTs4bDAbU19fD7XZ7+axrtdqAxeNEfhoTE2JdY1/pEFK4J/pgra2tnEshcbKUIpLYQi6Xcy6eZL/Jzc2F0WhEf38/LBYLZw9NiEWhUCS8zhYgEQmA2FjgAsDY2BhaWlpQVFSE5OTkmA5e8WVY/KXM+BPzkdjgipHa4ku/LFu2DDk5OTCbzV4+62lpaRyp+PbsSxFJ5PBXuOcbewFAQ0MDF62INS8RCvGqkZCB2HiJNtI0DaVSGdA5ktQuH3roIZSVlcHlcsWMUDweD37xi1/gmWeewfj4OAoLC3HttdfiJz/5ieDP5nNNJCzLwuFweLXXifElJj7qExMTWLt2LfLy8tDY2BhzmXfAP5EYjUY0NDQgIyMjYhvcaFNbHo8HTU1NMJlM2LRpE9LT0+F0Or181vlT3y0tLfB4PMjMzIRWqwXDMJ8LIpmv96hUKrlBPLfbjQMHDqCwsBDT09PcvATfijhSz49QiOcgJBCfdB4wu0f4prF8hyMrKipgMpnwn//8B/X19cjKysIpp5yCs846C7fcckvYD4OB8OCDD+Kvf/0rnnzySaxatQrHjh3Dddddh4yMDPzgBz8QdIzPLZGQ0JLkj7dv3y7KDc33Ud+2bRtn2TofMu+A90bEsiwGBgbQ1dWFZcuWoaSkJOL3GE1EYrFYUFdXxxlyqVQqvxuI79S31WrliMVgMAAAWlpauCfrWA3nxRPx6J4i90xhYSGnaEyuPUm7EDFEErEEKtxHsnY8NnN+CjseENK1lZOTg29/+9sYHR1FVVUV7rrrLuzfvx8ffvihqOrbhw4dwoUXXojzzz8fAFBaWornnnsOx44dE3yMzyWR8GdDSFtutF8Kfz7q/Jt0PoyngJNPWsTHxGQyhW2DG+j4kTwtj42Nobm5GSUlJVi2bJng60xRFFJTU5GamoolS5ZgbGwMg4ODSE5O5q6zRqPhSCXWroXziXgRCVnX99qTtlaDwYCJiQl0dnZytS0SsUSqohuv1FYiRCThTLZrNBqUlZXhG9/4Br7xjW+Iei47duzAX//6V3R2dqKyshINDQ04ePAgHn74YcHH+FwRib/ZEGKDGw0C+ajzwR9IjAWIwjDxY6irq4NGo+EiADGOHw6RMAyDjo4OjIyMYN26dVy4HimIb3V5eTmAkzl+g8HAaSKRGQriWrgQC/TxSN+RTTXQ9eK3tRJpdpLLHxwc5Ar3fCtiofXAeKa2xKyHRrq+EFitVr97ili4/fbbYTKZuJEEmqZx33334Stf+YrgY3xuiMR3NoRsvOTCRQq+j/r27dsDplvkcjlHYLECRVEYGRlBf39/QEveaI4tdJNzOBxeQ5exKBDyc/wAvGYoBgcHAcCrG4ykGBcC4hGRhLMmv/sIOFkkNhgM6OrqgsPh4CbutVot0tPTA26a8UptJYpfuxDEuv33hRdewNNPP41nn30Wq1atQn19PX74wx9i0aJFuOaaawQd4zNPJMEscIHIU05CfNT5iHVqy+PxcOcUrQ2uPwglEtLam5OTg1WrVomWbgq1Pt+1kJ+KGR8fR2dnJ5KTk73SYPPhOREJ4hGRRFuX8S0S84UOm5qawDBMQD2qeEck8UK4k+2xlJC/7bbbcMcdd+CKK64AAKxZswYDAwN44IEHJCIB5s6G+JIIcFK6JJwvk1AfdT5iSSRmsxn19fUAgLVr14pOIkDo8+e39kYqhS8WfFMxxMzIYDCgp6cHdrvdq8042BNzPJDoEUko+AodWq1WTsqlr6/Pa1AvnsX2hUIkpKs0VrDZbHOuRTDbC3/4zBKJ0NkQ8mEK9W8Ox0edj1gRycjICFpbW1FaWorh4eGYzaoEiwh8W3uFujqKtX4o8M2MgNnUG0mD8Z+YCbHMlweIPyzEiCQY+IV7okfF91QHgOPHjyM7O5sjl/mwv41WZytahCvaGMuI5IILLsB9992H4uJirFq1CnV1dfj973+Pr3/964KP8ZkjknAscAHhRBKJjzofYhfb+bMq69evR25uLkZHR2MW9QTayP219iY6kpOTvTSqiJSITqdDT08PlEoltFot3G53zOta/rDQI5Jg4HuqL1myBB999BGWLVsGk8nEDaWS6W4ylBqLh6N4p7bC9SOJ5WT7I488gp/+9Kf47ne/i8nJSSxatAjf/va38bOf/UzwMT5TRBKJzAk/VxsIkfqo8xFuqBgMVqsV9fX1kMvlc2ZVYvVE62+OJNLW3kjXj8V74yu4lpSUeEmJuN1utLW1YWhoyGvaPpZPsp+1iCQYyP2UnZ3N1VdcLtecbjy+FbFYach4prZI3VbIfUTEOGMZkaSlpeHhhx8Oq93XF58ZIonUAjdU51Y0Pup8iJXaGh8fR3NzMxYvXozKysp5m1Xhb+Rit/YKxXxssnwpEYPBwNV6jEYj57HObzOOxcR3PCKSeMmUAN6zHCqVCvn5+cjPzwcALyvi4eFhrzRkVlZWxKq48XZmBITPsMS6RiIGFjyR8GdDIrHABeCXSMTwUecj2k2ev3mvWbOG+6LxEUupdxLtxKq1t6urCy+88AIKCwv9DlzFq2ahUCiQm5vLTdvbbDZuYyMT33wr3Ggnjj9vEYm/Bhg+1Go1ioqKuIl7YiRFGid8/T6EtnknApEIjUisVmtMIxIxsKCJhGEYeDyeqBV7fesXYvmoB1sjHNjtdtTX14NlWWzbti3g00msU1tutxuffPKJ6K29ANDT04Pf/OY3qKmpCTi5G2+tLb5UO5n4npmZgcFgwOjoKDo6OqBWq73ajCPJ78/3ph7PFtxw1vVnJEWuP/H7SE5O9pLKD5RBiGexnaZpUBQliMhcLhc8Ho9EJLFAqNmQcMGvX4jpo85HpBHJ5OQkmpqaBJlhxSq1xbIsJicnYbPZsHLlypi09vpKvPgiEafU+YXjpUuXcla4voN5/Gn7UJtHvLS2FqKEPP/6A+DavEmbcXNzM9LS0rxk2cn3J94RSTiFdgCSjLzY8JU5iZZEgJNT5x0dHRgcHAxpOxvpGuFs8nxf91WrVmHRokUh/yYWqS3S2mswGJCcnIzi4mJRj0/A754LhHhHJKHga4XLz+8PDQ0B8HYsTJS8d7xTW2LBt83b5XJx17+9vR0ulwsZGRnIysqC3W5fEPIoFosFFEUlzL0SCAuKSPizIUJDQ6Ho7OyETCYT1Uedj3CiBVKHcLvdYZ2P2BEJv7V31apV6OzsFO3YvuA/KfpDIkYkoeCb3yfT9pOTk+jq6kJSUhIXrZA0jBSRiAeVSuWlJk0m7g0GA/R6PdflySf2+bgOkQg2JtLArD8sCCIJdzYkHExMTMBsNiMzMxMbN26MWd5U6Cav0+nQ2NiInJwcbNiwIazUmpg1Et/WXqPRGNOIgHxRAkUksWr/nS9QFDXHsZCkwfhpGJfLxd2P87V5xDMima/3SJ7qiYxOe3s7GIaBRqOBXq/3KtwTYhdTqp2PSIgk0R+kEp5IYmWBy++CSktLQ0FBQUyLb4RIAn1p+V1iVVVVKCoqCvt9ihGRBGrtjfVGLiS19VmCr/Ch0+mEwWBAZ2cnBgYG0NfX57WpxXIz+ayktsIBy7JQq9UoKSlBSUkJGIaByWSC0WjEyMgI2tvboVarvTrCxNJnSyR5FLGQ0EQS6WxIKBAfdQDYtm0burq6Yr6B8VM3vjeRy+VCQ0MD7HZ7VF1i0dZIgrX2xppIhBTbF3JEEgpJSUkoLCxEX18fVqxYAZVKxaVgyNMyPw0mpqnX5yEi8YXvQCJf/2vp0qXweDyc8CQ/YuRbEUf64BmuPIoUkUQIMq9ALqKYJDI6OorW1lYUFRVh+fLlkMlkUUvJC0EgK1yj0cjZaFZXV0fVJRZNaiuUau98GXN9XiKSYJDJZHP0qci0/dDQkJf/hximXp/VGkkwhCIxMj9EGif4NtD8wVQSNYbjfxOuPEosJeTFQsIRCUllTU5OoqenB9u2bYuZjzpBrDdJsgZw8ombr91VWVmJ4uLiqN9nJO9DqGrvfKW2Aq3xWY9ICPy9R/7Tcnl5OdxuN2c/TGRE+P7q4Zp6Rbuh2w8ehGdwEKmXXQYqjAeheKa2wo2GfG2g+R15xP+GP3EfrHAfjjyLlNqKAHwLXOJcKMaNFshHnWA+IhLyPsh7bGpqwszMjKhqueGmtsJR7Y31Rq55623sSk1DqxSRhLznlUolJyPCsiymX3sN1r89BvvKKrSWLYW7eAmysrO9/NWDIdqIxPzUv+Cqq4P1jTeQfc89UFZUCPq7eKa2ohlI5BfuFy9e7NWRNzU1he7ubiiVSq9Wb34qMpFMrcRCQhBJrCxwQ/moE8jlcrhcrqjWCgXSrmwymdDZ2YnU1FTR1XLDmZ4PV7VX7BkVm82G0dHR2SJmaytSX3sNt+Xm4mqHPeD6n9eIJBgoioLcYAB6eqDu68NihgHS08Fs3AhDZSU6FxchiTcUmZWVNSd9Gi2R0CMjAABPbx8mrvoa0r/1TaRdfXXI6CSRU1vhwF9HHr9w39bWhpSUFO76u91uiUjEhq8FLvlwo40ShPioE8xHREI2iKamJixbtixsGXohkMlkcLvdIV8XiWqvmBu5TqdDfX09UlNTMVZfj6LfPQQZgDylEjKrRZQ1FjLCvS+U5SciAEL0MzOQffghMvfvR6ZCAWrdOjjXrkV/WSmak5Pn2OBGQySsxwNap5v9x4nv0Myjf4X9vf9Be889UFaUB/zbeKa2Yqn+yxf+BOCleNDT0wObzQaVSsXptKWnpwckFolIQoAvc+KvK4ts7pHc5MRHXa1WB/VRJ5gPG9zm5mYwDIOVK1fGbDo81PuIRrWXfOmi2nRYFn19fejp6UFVVRW0qanQ/eY38JwgPyVFYRnL4vDhw3P0qj5PEUn4ROJnsyYPRh4P2Lo6qI4fRyEAeUkx6KVLMXP66WhKTwfDMEhKSoJcLofNZgOOHoX97XcgLyyAYtEiyAsXQVG0CIqCAlB+5iroqamTBMaDu6cHE1ddhfRvfxtpX7vKb3TyWYlIQsFX8aChoQEymQxOpxMtLS3weDyconRWVpZXjWshCDYCcSISIbMhCoUCLMuG9cUK10edIJYRidlsRl1dHdRqNZKTk2P6dBEs/RStai+5jpESCb8es3nzZqSmpmLyzrvg6evnNiIPy2JzUjLKy8u99KoyMjKQlpYWtiXy5wXyRYVAUhLgdPp/Ae+eoAcGgYFBaCcmUPXPf8JisaC7uxtWqxVHjx5FemcntKOjUDQ1ATrdSUICIMvOhmJRIeSLFkFRuAjyRYvAWAJEkCfWnPnLX2D/3/+gveeXUC5d6vOShVkjiRYURXHGXkRRmnSEDQwMAJh1Yu3s7ITJZEJBQUFMz2dkZAS333479u3bB7vdjsrKSvzjH//Ahg0bBB8jLkRCNoJgOlnkQ/Z4PILqCJH4qPPXigWRDA8Po62tDWVlZSgvL8fBgwdjmkIL1P4bqrVXCPhEEi6sVivq6uqgUqm4esz008/A/vbbXq+TA9is8n56I7LtU1NTYFkWBw8e5KKV7OzsBeHIGA7CJUrW44FnaAjy7GzQo6OC/ib5zDOR9fOfcWq6GRkZSE5ORmVlJabXrIHxrLMwaTDAYjIhk6aR4XIjzW6DyjgNZnwcntFRuBoaQU9O+o1GfOHu6sLEV69E+nduQNqVV3LRSajUluXV/0Cu1UJ9+mnCLkYYiPcMC/kO8hWlFy9eDIZhYDab8d577+GNN95AY2MjNBoNhoeHsXPnTpx99tmiEovRaMT27dtx5plnYt++fcjLy0NPT0/YDUBxS22FmnkIZ64gUh91AjHdC4HZc25tbcXU1JRXfUbsdXzhm9oS2tor9NhA+E9yk5OTaGxs9DLish8/DsNDD815LUVRWK5QgrFYIDsRuZHuGK1Wi8OHD2PNmjXQ6/UcSaempnqlwRJdkyhSsCwLemIC7p4euLu74enumf3//f2AgLoY5HJQSiWyfvoTpOzaNefYxOCNP21PRA8NBgPGDAZ48vORueWUk972KhVMf/wTrP/+d3BCIdHJn/8PlueeQ+G+fVyqMtDnZT9wANP33w8qNRWFb/wXMpHVbxOFSHwhk8mQkZGBSy65BJdccgm+9KUvoaqqCqmpqfjDH/6A++67D62traKdy4MPPoglS5bgiSee4H5WWloa9nHiXmwPhFDOhcDJjbKrqyuqAraYfuqk1VipVGLbtm1eej2xNJ4CvIkknNZeIQg3ImFZFr29vejt7fVSL/ZMTGDi5lsC/p2couCsrYP6tFPnrE9SApmZmSgvL+dsWfV6PVpbW+HxeLgi8nyK8IkJlmXBms1wdnTOEkVPN9wnSIM9ISlOpaRAWb4UqlWroLnwi1CUl8PV0ICZvz0G+Pt8KArKpUuR/eCvoViyxO+a/q6Tr+ghiQ6JPphcLseikWGEfGyTyWbJRKGAfPHJ9QNt5p7xCRh++jOAosBarbC89G+kX3tNqFUEg2j3JSKR+MJut2Pjxo249tprAcwORoqJ119/Heeeey4uvfRSfPjhhygqKsJ3v/tdfPOb3wzrOAlLJMBsnYS0BPuC76O+efPmqDZKsVJbpBuquLgYy5Ytm3OjxjoiIUQVbmuv0GMDwojE4/GgsbERZrPZS/KFdbkw/oMfzubVA1wHD8vC+emnc4jE39p8W1biJGcwGKDT6dDT0wOVSjVHXTeRwLIs3J2dcHd2caRR0toK04x59gUKBZSlpVCUlyN5xw4oK8qhLC+HvLBw7sbPMHNJhKIAloXm8suRedP3QAW4D4Sk0/yZeplMJpgf/av/z5JHHsmn7oDmvN1I3r4NFK/xhR/d2j/+BDJNClSrV0N/xx1gHQ7u/Zj/+U+kXvpl0aISch/F09gq0vZfMaVxAKC3txePPvoobrnlFtx11104evQovv/97yMpKQlXX3214OPEjUiiKYKL5aMeah2hYBgG7e3tGBsbC9oNNR8yI06nE4cOHQqrtVcIhBIJn8S2bt3qRWJT998PV3u7/6fmE1BQFByHDgVcP9j58WVFfNV1W1pavEym0tPT4x6tOA8fhu77PwAAyIuKoKwox8ymTViyYwdSq6qgKCkRPCk+ZwhQLgeVnAztPff4JWU+ImlgINP2dr0e3B1NUSCfrH3pUnh2bEfKGWdCtWQxkv1M2zMMw313HR98AOtrr0G5Zg3cra1e9whrs8Hy4ktIv+7asM4xEHxHDeYbQtPD5OEolg06DMNg48aNuP/++wEA1dXVaGlpwaOPProwiEQIfDd4sX3UCaLZ4G02G+rr60FRFLZu3RpUzkDMFJovGIbB6OgobDYbampqwmrtFQJynYNdp4mJCTQ1NWHJkiWorKz0+mysH3wIy6v/EbSWZ2AAtF4P+YlcPX99oZueb77f4XBwaRm+yVT2iQnwcCTDGYdj9hwUClBRPNUmbd6M/Oeeg3xRIWQn7pum999HxSmnQBmmLIZcqwWVlgbWbAYoCqqVK6G9/34oCvJD/i3LshE9nbNuNxiDgfu3sqoKmj27od65E66UFO56D9bXA4BX2lGtVnt9lpl33A7G4YD9rbf8nSDMTz45G5WIsKnGm0jClUiJJZEUFhZi5cqVXj+rqqrCyy+/HNZxEp5ISGorFj7q/HUimVkhG+eiRYuwYsWKkDdHrCIS0trrcDiQkpIiOokQBGqQYFkW3d3d6O/vx5o1a/x2lajKSqE57zw46utBj4/P/lAu92ov5cN57BhSzj1XtHNPTk7GokWLsGjRIk7SQq/Xc17fxGs9Ozs7qAii7d13Ybjr7pM/oKjZNI5CDkqumI0EFHJArgClkIN1ucG6XMh5+A9IWrfO61iUXO53YC/ShyNlZSVcx48j7bprkf7NbwqOZiJuqVYokHLhF6FYtAgp5+yCYvFJV1E1MMfUS6/XY2JiAp2dnVyKhowCUAYDHAcPcum4Oedos8Hy0ktIv+668M/TB+RhLl5ClYkkkbJ9+3Z0dHR4/ayzsxMlJSVhHSehU1tEJiVWPuoEwSTe/YFhGHR2dmJoaAirV69GYWGh4HXEJhJ+a29paWlMXQz9DQW63W6uVrVly5aAw1PKkhLkP/hrAAA9PQ1HSwss/9sP68svg9KkgLXaZo/HslBSFBxHjnoRSbRzLL7vg0halJWVcZLhviKILpcLdrvda03fWQiw7CwZ0jRYzMrszNkGFQrIgigreB8u8qHLrNt/DNZmh2rVytAv9lkzkmtKURS0d98t6HW+13t6ehpdXV0wGo04+OGHKHns71DabKACvX+WhfnJp5B66aVRRyVi21KEuzYgrD4zH6mtm2++Gdu2bcP999+Pyy67DEePHsVjjz2Gxx57LKzjJHREIpPJMDY2BpPJFBMfdQK+qVKoD9jhcKC+vh40TWPbtm1hDfaJGZH4a+01Go0xL+bzNzoybKnRaLB161bBtSp5ZiZStm2Dc3gYkMlQsHcvjIODuOGss7FGnYwbzjgTiuK53UWxAl8ynK/sOjMzg97eXgwODnIpGe2SJUg+7VQ4Pv4kYDTlBYpCzp/+CGUY927EEUlZWUR/N99SJcRbfWRkBDk5OUj+98uw9/WF/LvZWsmLSP/616NaP57DiCQaErK+w+EAwzAxnWzftGkTXn31Vdx555245557UFZWhocffhhXXnllWMdJWCIh/sqk9hBLVg5lqkSg0+nQ0NCA/Px8VFVVhX0zilUjCdTaG+v2Yv7xx8fH0dTUhNLSUlRUVES0EblaWqFYuhTylBQoCwvxjsWMdyxm3PGX/5vTnRLNQGQ44Cu7jo6OoqSkhDOZIl4g2i1bkPPRAUHHy/jejUjetEnQa8l7m+8n5XgaW6GnB/annxb2ByQqueyyqKKSeM+QAMLqM9YT7d7hqlCEiy984Qv4whe+ENUxEjK1RWoPycnJyM7OjrloGVHmDbTJ82sA0URGYhBJsNZeMT3b/YFEVB0dHRgaGsLatWuRnx+6mBsI7tZWqFat4o5NEGtvmHDg6wVChvQc/30D8vb2wKkYmQzJp+5A6te+Nr8nHAHiamyl1UJ17rlwt7bCMzJyspVYoQD8tP4zNhvaf/s7qL52FbKysiIy9YrnDEk4aTWLxQKZTBbSBiARkFARCWmjHR0dxapVqzAzMzNvjnmBWoCdTicaGhrgdDqD1gCEQCaTRSVXH0q1dz4Mutrb2+HxeLBly5aoCJ6x2+Hu7YXm0i8D8A71/X0O8xWRhIJKpUKOh8Z0TjYcAc6FlclA5eUh/ac/DdtgCvh8RSTyvDxk/+re2fNwOuHu74e7qwvuri64Ojrh7uyc7UQDAIoCxbJIf+stmL9wPtonJjinQpJ6TE1NDfle4h2RhFNoXwg2u0ACEYmvj3pKSgqsVmvMfUII/EULZF5Fq9WKUuSPtNguVLU3lkQyMzMDl8sFtVqNrVu3Rn0tXO3tAE1DeaL1kP/lCvYe4kkk7u4ezPzzn7C/+y6ojAzIcnPB6PVzB/Lkcox//Tp01dZysyvZ2dlhOxfOF+JJJPx1qaQkqJYvh2r5cq9zY/R6uLu74e7qhuPoUbg7OrBsyRLI8/O9BA/7+/u5CJIQi7+27njXSCQiERH8i+PPRx3wbv+NNfibPF/uPN7zKuGo9saqRkIiIYVCgfLyclG65pzNzaCSkrguKP4TYrCIJB5wNjXB/M8n4fjoI8gLCpD5ox9B88UL4DhyFPpbb53z+uxf/AJLdp3Dza7o9XpudoUvOOlbB/q8RSRCZOQpioI8JwfynBwkb9mCtK9d5fV7X8HDmZkZGAwGjI6OerV1k/SkQqFYcBHJQkBcI5JgPurA/BhO+a7lcrnQ1NQEi8WCzZs3IyMjQ7Q1wiWScFV7xfAM4YO0OQ8PD2PdunWitha7+wegrKriZh0SLSJhWRaq9na4Hvs7phoaoCgtRdbPf4aU887jzjn51B1QlJbAMzA42wZMUdBccQVSdp0z+3ve7ApRdeVvckSMkghOxivaSpSIJOhrTSbY3n0X8rx8KEqKoSgqmjMnI5PJOC22pUuXerV1d3d3w+FwID09nRsriAehhBMNSRGJAHg8Hhw6dCigjzoAUex2hUIul2NmZgatra1IT08XRXrFF0KL7ZGq9kaq0OsPLpcL9fX1cLlcXCTU1dUl2maXef034OYJ0IUqts/Xl4llGDg++ggzT/wTOa2tQEUFsh98EMlnnA7KZ9OhZDKkf+MbswKDMhlUq1ch8/s3+T0uUXXNyMhAWVkZ3G43t8m1t7dzuX5gVi1hPiVc4kkkQjdyZ30Dph/8zckfyGSQFxRAuXQpFKWlUJYUQ1FSAkVxMWRaLSiK8mrrBk52gg4PD8NqteLgwYPIzMz0mraP9XVIpKl2MRE3IlEoFKisrEROTk7ACztfEQnLsnC5XOjp6UFlZWVMbHABYTWSaFR7xSISk8mEuro6ZGRkeNWGxHQpVBQWgnW7vY5HIrZQis+xAOvxwPbOuzD/85/w9PVBVVMD/fduROHu3VAHUQpQ79wJ+Z//D6zLhewHHxSujaVUIi8vD3l5eZyy7tTUFIxGI+rq6qBQKLgUmFarjangZCKntgiSNtR4KyEwDOjRUdBjY8Dhw14dXpRaDfXpp0N77z1ex1Cr1VCr1XC73ZiZmUFJSQkMBgMmJyfR1dWFpKQkTjYnViKf4aS2LBaLlNoSAqLaGgjzUSMhhlgOhwMlJSUoi3CoSwhCpbaiVe0Vo7NpZGQEra2tKC8vR1lZmXcxVEQi8QdCtPMZkbBOJ6z//S/M//oX6NExJO/Ygay770bSurXoP3o0tFikQoHcv/0VkMshFzi9PucYJ5R1VSoVent7sX37di4NNjAwgJaWFqSlpXHEkp6eLmpKJl6Wt+GktmSpqUjavAnOI0e9mxtYdk6bMGu3g3E6gq6rUCi4afvS0tI5Ip/Nzc3cNddqtcjIyBDlGkk1khgg1MYU69QW8XZPSUlBTk6O6BLNvghGJKFae4UeH4hsDoN0ho2OjmL9+vVcOsD3+LFWLwaCm5mJRWSM1QrrK6/A/MyzYIxGqHfuRNpvfwtVZWXYx1KIpLhA3ptMJuM2MGC2BZ0IIDY1NYFhGK4zKTs7O+o5g4WQ2gKAlJ074Tx0OPiLKAqy9HRk3XlnWOv6inySa240GjlfdX4aLNLaRSLpbImJhGn/9YdYpbZYlsXw8DDa29s5b/empqaYp9H8bcRCW3uFgJg/hbvZO51O1NfXc51hgRSM5yMiAWLftWV9/XVMP/xHsHY7NOefj9SrvwZlcbFox48Wvu81KSkJhYWFKCwsBMuysFgs0Ov1XEomOTnZy3cl3K66hZDaAoDk00476XMS+KDI+uUvIc/KCvgSIXUK32tOvG6MRiN6e3u51CMhdKEPoVJEEgdEqsobDB6PB62trdDpdKipqeGeQOajHuNbbA+ntVcowiWS6elp1NXVISsrCxs2bAi6CYlNJG63G6Zf/hKyZDWyfnybl3hmLNen9XpoLvgCUr/6VSiimMwXG0LeG/FZT0tLQ2lpKSeAaDAY0NPTA7vd7jWgJ2R2Zb61toATTpBhEok8MxOq6mq4amsDOkFqLrkE6u3bgh6H74MiBL5eN8TUy2AwcJbPGo3GqwMvEFmQtJoQWK1WZAUhxERC3FNbwaBQKGYHkkQaIApmgxtr90LfNcJt7RWKcGRSyJegoqJCUIOBWHMqpCuto6MDSz85BIXZDNuBAzhLrcZrZnPMCV0MKfJYIpxNnQgg5pyozxDBSVJf4afJAj05xyMiIfdRuOum7DwbruPH5/5CJoOiqAgZP/i+oLWjqXf4yubwO/CIenQgMqdpWnDt02azYYkfa+RERMJHJEB44WAgjI6OoqWlBSUlJaioqPCbIxXbD9kXJCLp6+sLu7U3nDVCbfYMw6CtrQ3j4+NeUVkoiBER0DSNlpYW6PV6bNiwAbaaGng+/BAwGPBAlhaXJ6sxcfAgcnNz5xSVY51aizfEeG9qtZrzAeEP6I2MjHBPzqQTLCMjA3K5PC5Ewq8HhQP1GWdg+je/9WsrrL3/PsgEGJSJPdnu24FHyNxoNGJwcBAAuDSYy+USXPeQurZEgpDiayjwhx4DFZHJWrF+EiYdSQMDA2G39gpFKCIhMvgMwwSc3wl27Gg2O4fDgbq6OgDA1q1bZz/fZRUwHzjA5b1XJydD8ZdHMX7oMFrOPx/pS8u8iqDhwDM+Dnd3D9Q7tkd8zvMJsSfbfQf03G43F620tbXB7XYjMzMTbrcbDodjXgkl0ohEnpMD1erVcDU3e5FJ+ndugGrFCkHHiKVoI189mkzbkw688fHxWZ97sxl2u51LgwVKs9lsNolIxABFUVG1AFutVtTX10Mmk4XcNGOd2iKtvQCwZcuWsKxdw0Gw9JPRaER9fT2ys7MjSqdFExGQWgxJ5VEUBbfbDfmiRV7FU8WJjSW1sRGpTU2gv/hFjJ92Kjo6OsCyLAYGBlBQUBCwHZMxm2F//wNY33xzNpdOUVh89EhE5xwPxHIjVyqVyM/P59rubTYb9Ho9jEYj2tvb0dvb65UGi/XsChCZ3a16585ZIpk9AFRr1iDtqquC/xEP8znR7juIeuzYMWRkZHC24Xa73avNmB+FS11bAhGOS2K4GB8fR3Nz8xz9rkCIZbGdtPYuXrwYAwMDojs88uEvamBZFkNDQ+jo6EBlZSWKi4sjdsSLhEhILWbZsmUoKSnxOo58UYDWWWIA9OqrKNi/HxXfuQHHMzLg8XjQ0tICmqZPDo+p1cCxY7DtewuOQ4e8DKdUa9eGfb7xwnym7cjsikajwcDAANasWQOGYTjxw5aWFk5w0neDEwOkwB/Jfag+60yY/vCH2feRlATtr+4FFcZDUTy1tliWRWZmJpcZIXpsJP1IFNCJSd18RSQPPPAA7rrrLvzgBz/Aww8/HPbfJ3REAoS/wfPbaVevXu3XP1yMdcI9l3Xr1iE7OxsDAwMxn8XgH59hGLS2tmJychIbNmzgZhMiQbjFdv5sSqBajGLRouAHYVkwJhNmHvg1SvLzkfPnR5C2ejXMBgOM+/fD/r/9oBsaIPN4ZuXbfc5Pc/FFgs83ERCvNlyFQoHU1FRotVpUVFTMmV1hWdZLVTfa2ZVoOsUUBQWQZWeD0euRddedUAj8jvPXjqf6L5/E+HpspLW7p6cH77zzDurq6nDDDTfgzTffxDnnnIOdO3cGTM1Hg08//RSPPfYY1kbx0PWZIhK73Y76+nqwLMtJ0QuF2DUSf6295IlzvlwM+TUJ3y61SBBOjcTlcnE+LsFmU2S5Od7SF/7AsrNdOUYj3J8eg/GfT8K+fz/kdvvshnDib31JhJXJwG7YELc5iXCRSKKNvnMUJM8/MTGBzs5OTlWX5PkjmV2JJipI/cpX4KyvR8p554X9t4mq/ktau7/+9a/juuuuw7Jly3DnnXdidHQUv/nNb/Duu+/i8ccfF/V8LBYLrrzySvz973/Hr371q4iPsyBSW0JqJFNTU2hsbERBQQFWrFgR9hOHmDWSQK29kQ4MhgOy2ZNzyM3NxcqVK0V5AhOa2jKbzag94cVRXV0dfDZFJoM8Pw/06FjQYyZtqEHXOeeg+Le/A9zuk78I5GpJUXAvX45jbW1Q9fRwBftINr35RLwikmDrUhTlJSfCV9Xt6uqCw+Hg2l2Jo2mszaXSr7kauObqiP42ng6J4XSg2mw2nHXWWVykEIvU+4033ojzzz8fO3fuXLhEIgShIhKGYdDd3Y2BgQGsWrUKi0KlSiJcRwiEqPbGujuMoihMTk5icnJS9PZiIUQyMTGBxsbGsLzcFcXF/omEogCVCpm33AzNRReh/eBBqG+7FfYHfu1/II3/pwDyvvQllJx66pxNj0hdZGdnJ5RMdyJFJMHgq6prs9kCzq5kZ2f7nZuIxxAkf+1EN7Yi0/T8YrvY5/z888+jtrYWn376adTHWtBEQtJHbrcbW7dujarDIVoiEaraG8vuMJqmYbPZYDabsXHjRtGnYoNFU6QLpa+vD2vWrBFcmwIARdFiOBXH/Xp05/zut0jesoVbX3n22VCnpsLwk5/OkkmQzVd9xumQy+VeA3tk09Pr9ejr64NSqeQ2vFgpvoaDeE2YR7Oub7vrzMwM9Ho912RBai8kDUbqePH2TY/HuizLCiIEm80GlmVj1rU1NDSEH/zgB3jnnXdE6SBN+NRWoPZfvV6PhoYG5OTkhJT2EIJoIoVwVHtjJXxot9tRV1cHmqZRVlYWE2mFQNeIkOjMzExEvvaKoiKuBdjDspArFci88UZY/vMaTH95FEkbN3Ly7CzLIuWcc0DJFdDfeWdAqQzVmjWQ+2ks4G96NE3DZDJxpEI6lUgabL4jhHhEJLGcXSkvL4fL5YLRaIRer0drays8Hg+ysrK4Cft4TdXHi0gAYZGF1WoFgJgRyfHjx7kGHAKapvHRRx/hz3/+M5xOZ1gRUMJHJL7tv/wn3xUrVmDx4sWi3IgkUgj3xg5XtTcWRKLX61FfX4+CggIkJyfHLGz3l9qy2Wyora2FSqXC1q1bBcs/8Fs/5UWzsyQsgFaHAxm3/wxLLr0USdXVmPz6N2B+8kmkf+MbXtc2+YzTkbRpE5xH/M+IqHfuDHkOcrncS2XX4XBAr9dzKRqGYTA0NASapqHVasOW9Y8E8Zowj9W6KpXKa3aFiB+Oj4/Dbrfj0KFDyJYrkKlSQrt6dcCIkGVZWF99FbROh4xvfSvi8yGSS/EgErKPCVnbarVCoVDETJH87LPPRlNTk9fPrrvuOqxYsQK333572HtIwhMJP+XkcrnQ2NgIm82GU045Benp6aKuE06YH6lqr5hEwq/JVFVVYfHixWhoaIhZ6syXSAiBFRYWYsWKFRF/OVVVVZDn5eFJvQ6/HhzAKyfahFWrViHtmqsx8//+geRTTwVwMhUz/Zvfwnn0KFK/+hVYXnxptuhOzo1loT7zzLDPIzk52Ute5MiRI1AqlRgcHOScM/meIGJvvp+FiCQY+OKHycnJGBgYQFlZGWzf+S6cY2M4fMvNUBcXcxIu5BrTRiOM9/4KjgMHkHb99VGdA/luxItIKIoSTCQajSZm55mWlobVq1d7/YzI5/j+XAgWRGrL6XRyU9mZmZnYunWr6Llsvq5XqA8vGtVesYrtNE2jubkZBoPBqyYTy64wcmyWZTE4OIjOzk6OwKKBorAQhW++gTdPPRUMvLtT0q+/Ho4DB2H8xS9A3XADWJaF6aHfw/ryy8j6yd3QXHghkrduhe6WH83WWFgWyuXLoSiITtVXJpNBLpejoKAAubm53FwFyf0D8HIwFOvJ8bMWkQQCiQo0TU1w9PcDFIVl/30D9D2/hNFkwtDQEAAgd2QEaY8/AYplkf3QQ1CfdmrU6wLiF66F4LPqjggsgIhEJpNhZmYGx44di2oqW8g6wOyHHYykolXtFaPYbrPZODvWbdu2eW1i0ephBQMhkpaWFkxOTope0PdnzEWpVMj6xc8xec21yHj7bTgPHYLn3y8j847bobnwQgBA8pYtyPnjw9D98GbA5RKU1goXvnMVpKBMxBBTU1O9xBAjeZL8rEckfDAMAxkA0yN/nu3OY1l4mpuR/t57KLruOjAOB3QPPwzXy6/AubIKIxdfjCGVEtrOTq6NOxIyiHdEksheJB988EHEfxt3IgnWUup2uzE2NgabzYbNmzfHROSQQCaThexKCtXaK3SdaIhEp9OhoaEhYDopli6GDMNAr9dDrVaLMuDoi0AOj6rly5H29a+D/X//Dx6WReZttyL1kku8XpO8aRNyH/kTTI/8GSnnnSvqefmCoihOP2np0qVwuVxc+2tzczMYhvFqfw3nOn1eIhKWZaE+cgSeE5EHwcxf/wZFURHM//wn3P0DyLj5ZqRecTlKGGaOVDvfsVDI7ApwMr0Uj9bjSIgkUVrTQyHuRBIIJpMJ9fX1UCgUSEtLiymJEARqARba2isEkW70LMuir68PPT09WLlyJYoC2LvGKrVlMpk4nbBTTjlFtAFHPoI5JLI0DYplIdu6BamXXeb3eEk1Nch7QtzJXyFQqVQoKChAQUGBl4Ph+Pg4Ojs7kZKSwpEKkW73h89VROJwIOXV//g7IRju/gnkJSXI++cTnPWxQibjZlf4Uu1EG4zfOBGsMWKhtB0vJHdEIAGJhC8wWF5ejpSUFPT29s7L2v6IJJzWXiGIpEbi8XjQ3NyM6elpbN68GRkZGaIePxSIlwtpiRUrv+y7cQZySJz5xz9gefxxmC74AgpuvFGUtWMFXwdDYnqk1+s56XYiNqnVar2kY+LlCxKPJ3T2rbdBTU/7O6HZ9u2qKo5EfOFPqp04Fg4NDaG1tdVLUZefalwIw4iARCRhg5/aIhum0WjkBAb1en3EMvLhwncTDre1VwjCrZFYrVbU1dVBpVIJIjKZTAY3X0IkCrAsi87OTgwNDWH9+vWw2+2YnJwU5dj+4M9/ZubJJzHz178h/YZvYySCbhJ/YN1uUPM0eOhrekTaX6empji/dUIqcdnQ4zHHYbWCeuklBFyVZWF/6y3YTjsVKeecE/J4vo6F/FQjXylaq9VCoVDELV0UbrF9oUjIAwlAJARmsxn19fXckz8pIM+HlzoB2eQjbe0VgnBSW1NTU2hoaMDixYtRWVkpKCwWq0bidrvR0NAAu93OdaYNDw/HNP3iG5GYn3kGM3/+P6Rdfz3Sv/ENwM/MCMMwsD73PCiVEqzDCcZiAWu1grFYZv+bmQEzMwPWYgFjtYK12wGaRuaddyJ1npWBfb2/id+6Xq9HZ2cnnE4nKIrC4OAgsrOzkZKSEvNNLx5EYnn2WcBmC/4iioLxV/dBtWZN2Oq+/lKNhLynT0RB7e3tnJrBfGmvhauzJRFJmCBSCv70meabSBwOBz799NOIWnuFQMhGz7Isent70dvbG7Z+mBg1EovFgtraWmg0GmzZsoXrYou11S0/IrG88AJMD/8Raddei/RvfTPg+p7OTpiIfwJFATIZ1wUUTFFYWVISk/cQDvh+6yzLYmxsDD09PTAajejt7YVSqeSm7GO14c235hVtNML85FOgQt1HLAvW4YDh7p8g97G/heU3wgc/1VhSUoKJiQn09PRAJpNxxlL8+SC+v7rYkFJbMURbWxuGh4dRXV3N6SHxQSRS5uPJiaZpdHR0IC8vL6LWXiEIRSQejweNjY0wm80RDV1G2/47OTmJxsZGFBcXz0nnzReRaAYHMf3Ci0i98kqkf/c7Xufgu75qxQpoLrsM1hdfDEkeAACKgqKkBKqaatHPPxpQFIWkpCQolUqsW7cONE1jenoaBoOB2/DCVdgVgvmOSGaeeAKsyxX8RQrF7OfIMHC1toLR6yEXMSugUqlQeaL+Qoyl9Ho9N7vCL9qL2ZkYTn3GYrH43Q8TFXEnkvz8fJSUlAT8wMhTWCyLZKS112KxoKCgAGvWrInZl0smk8EV4IvEL+yHIzfie/xIu8JIFLR69WoUFhbOeU2sJfDJ52vO0kL7wP1Qn332HCLzh8xbfwTGaIT9vfdCqgKDZZF25VcTtq2Sk42Ry7loZNmyZVyXkl6vx8DAANelROorkQ7ozieRuHp6YH3+hdloAwDkclA84pfl5EC5tAzKsqVQlJVCUVoK5dKlkIs4q+S7j/CNpfj+6qOjo+jo6OA67ojgZDR7UDjy9VarFWVlZRGvNd+IO5FkZ2cHTV3xW0JjQST81l5ys8TyixWo2D4xMYGmpiYsWbIElZWVEZ9DJERC0zSampowPT0dNAoSe9jRV/eI/K9bpURKgKFCf+tTFAXtz3+GyZERuDs6gkYllEYDdQRmSPOBYNdWrVZ7ybcQscmBgQGuS4kQTzjpmfkkEseJGpcsNxfOkhLIipcgt7oaitJSKIqLIQvDiC5SBGvB9fVXJx13BoMB7e3tcLvdyMjI4Mg73DkPmqYFKyDY7fawjPnijbgTiRCRQ2B2wxdbNM+3tbe9vT3m9RjfjZ5lWXR3d6O/vz9s+XV/CDdqIKrBcrkcW7duDXqji5naMplMqK2thcfj4Z6syb0Q6DMIar6UlIScP/wek1+7GrROx6kJ+0Kemwt3ZydUMYw6g8HhcGD//v3Ys2eP398LOSd+lxJL07CPjsIok8FoNGJoaGiWWEP4gRAQIqF1Osi0WlBhzlhMP/xHUMlJs6KaIaKi9K9+FWlf+QooikJra+tsC29paVjrRYtwogLfjju+70pvby8UCoWXBUGo/Unq2oojKIqaowAsBvy19sbadArwJhK3243GxkZYrdaI5NcDHV/oZk/kXvLz81FVVRXyCyYWkZBrX1ZWhoyMDC6VYDQaAcxGZ9PT00hPT59zTsHWl2u1yPnjHzF53XVgnU6/aS7G4cDUN66HsqoKqVdcjpSdO0HNg6ovMCty+ZWvfAWHDx/GE088gUt8pvMjubb2996D4Sc/hTw/D4vPOANLt2+Hs6ICRrOZa2IhMxVEbJJ/TVmWRerBjzF28y2zigFf/rLgtVmWheWllwCXC/YPPkT2r34FZUU5aL0elEYDmZ90NSHKeBlbRTqQSFEUNBoNNBoNlixZAoZhuBrWwMAAWlpagl5nIPxiu0QkIkPMzq1grb3z0SFGiMRsNqOurg4ajUZUEUqhqa3BwUF0dHRg+fLlKC4uFnTsaGsk/Ohr3bp10Gq18Hg8XCqBfBZOpxNNTU1gWZb7YvIjlmBQVpRD++tfQ3/zzd6/kMuRfNqpyP71r+H45BNYXngBxp//AqY//gmaiy9G6iUXQx7D4mZvby8uueQS9PT0ICMjg3MX9EW4m6vshMoCPTEJy79fBl54EVRyMtK3bkH+aadBvmkTplkWer2eu6ZkIDIrIwPOvzwK7WuvAQAchw6HRSSMXg+cqPd5ensx8dWvQpaRAWZ6GpoLL0TWT+4O/Ldx9AQRY12+CyQATtTTYDCgqakJDMNwsytk8FQikjhDrA0+lGqvXC4XbZgvEGQyGex2Ow4fPhyWHa1QhNrsGYZBW1sbxsfHuaHPcI4daURC6jAmk4mLvvifqXtoCDcODeN9ikJ+fj527Ngxx2lPLpdjcnISarU6aB1AvX0bMn90C6Z/9xD/BJB2xRWgZDKod+yAescOuPv6YHnxJVieeQbmJ56AeudOpF5xOZJEGnwkOHr0KK69/HKcStP427JK5G7ZgrLTTpvzukiurbK8/OQ/TlxP1uGA48OP4Hj/A4CioKyqwpIzTseyHTtgz8ub9QPp64P50b8ipaODGwx01taCZZig6S2WZeEZHISrrg629/7H/wUAgJmehrykGJorLg963izLxo1IYlFr9RX1JDI5k5OT3OCpx+OBxWKBx+MJ2spN0mgSkYQBQZ7eCkXU0+1CVHvJHEmswLIsJiYmYLVaUV1djfz86KTO/SFYasvlcqGurg4ejwfbtm2DWq0W7djB4HA4UFtby9VhfHPJrMcD/c23oNhux7lp6Zywnq8wYm1tLZxOJ+rr60FRFBep+Ota0lx2Gdx9/bC+8grAslAsXQpVtXfLr7KsDFm3/xgZ3/0OrP99A5YXX8TUdW9DuWoV0i6/HMiI3u/m7aeeQu199+FVbTZSZDJQAFRB2l/Djkiys0GlpoK1WLx/QR4mWBbu1la429sx85dHQanVSN28CeqBQXgGB73+hLVYMLzjVFAFBVCWlCCppATyJYtByWSg9Xp4unvgrKsDYzAAMhnkAe5fengEU9d9HZm33YaUC77g9z3FK7UVq6YdPnxlcsjgaWtrKyYmJjA8PMy1cmu1Wr8PRVJEEgNEE5GEo9obyxoJMeUym81ISUmJCYkAgVNbMzMzqK2tRWZmZsTWxJFEJKSoTgjc31Po9J8egWdgACyAtWq13/NXqVRQqVQoLCxEfn4+F62QriW+RS6Zsci89UfwDA7C+emnQVt+ZWlpSPvqV5B6+WUn0l4vwvCznyE/PR2eCy4AfdWVYaW9WJaFs7YWTffdj6rBQSxPS4eCt7YsQC0skg4qiqKgrKiAq74++AtPXFPWbofz4MdeP+MdDGx1NZweD5wdHXAePQLK5T4pZUJRoNLToVy1CqqVVfAMDYOenJzbJUfTYGkaxnvvhf2DD5D1k7vn2B7HM7UltpdRKJDBU4VCgaqqKiQnJ3NpsMHBQa/mCKJ8EEsieeCBB/DKK6+gvb2dU/J+8MEHsXz58oiP+ZkmknBVe8XwCvEHs9mM2tpapKWlYeXKlejs7BR9DQJ/qS1S3F66dCmWLl0a8ZNguDUSsm5FRQVKS0vnrMuyLGzvvAvrc8/NHh/AaRoNPg7RteXrC+50OqHX671mLAipZN5/H1zvvoeU3btDvz+5HOpTT4X61FPh7u1F75//D/J//xtjL7yAlHPOQcb3bwpKKKzDAds778D89DPw9PUhl2Uhoyh4bZcyGWQBNgihJM2yLBi9Hu6eHri7u8H4Ez/0Bdm0ydS/v8+RZSE7fhzJNA2oVKBWrICzrAym1FR4FAqkOV3QmGfA6vRwHD4C2kcC3h8cH3+M8S9fCu3Pfwb16ad7vYdgROIZn4A8MwOUyFYF8VT/JdGQbyv3zMwMDAYDRkZGcMcdd2BqagrZ2dmoq6tDRUWF6HYNH374IW688UZs2rQJHo8Hd999N3bt2oXW1taIp+njTiRCXRLDTW1Fotobi2I7v0OpvLwcRqMxpgV9fvqJZVl0dXVhcHBQFM0woaktUlQfGBjA+vXrAxaWXT09mL73Xq+f5SuVUE+bgh7bF0lJSV5DZWTGoq+vDzabDRnlS5E9Oors7GzBvf/KpUthuuJyZH3vRqgPHYL1v2/A2diIlLPOmvNaz/AwLP9+GdbXXwdrNoMBIAO8ohAOMhmoIF9W33NjrFa4e3vh7u6Bp6cb7u4T5GGavUZUUhJkoQb2KGo2/TUzE+ptg1Iqkf3XR5G0ciXXzUZy9nq9HnqDAdPT01CpVFj8299CNjwS/IAMA9Zshv7W25B82mnIeeh3J34cOLXl7unB5DXXIvn005F9369CnnM4iKf6r7+1+Q9FS5cuxbPPPotXX30V999/P+644w58+9vfxumnn47bbrsNZ/m59yLBW2+95fXvJ554Anl5eTh+/DhO81O7E4K4E4kQhLvBR6raK3Z3WGdnJ4aHh7028VhFPQQkteXxeNDQ0MC1FosRJgtJbZEocGZmJui6jMWCqZtvmbXH5f+cZZE3Nhpw/VDgz1hUVFR4TYT39fWFrV9FpaUh7corkXbllQFfM37pZV7vI+jzLsPA09cLy8svQ6bRzLbJajRAcjLovj4kd3dj+uOP4enrh7unG/ToGHljUCxZAmVFOVIvvxzKinIoysuhKCqCq7UVU1//RuBrotXOdlgJAOtwQK7VerVE81tfi4uLQdM0DAYDHJNToQ8okwEMA0qjgYI3qR0oImFmZqC7+RawTifs770Hz3e/A0UA751IEK+IhGVZQTMseXl5+OIXv4jbbrsNw8PD6O/vxzvvvCN6VMKH6cRDSTiNN75YEEQidI4kWtVesWokLpcLDQ0NcDqdc7rDYulgSI5P0zQOHToEtVotamtxKCLxHW4MFAWyLIvJu38CemxsToqFBZA3NhbR+v7ATyMQ/Sq9Xs/pV2VmZnLEEqnabtadd0L/yCOgTszBBD0Gw8DZ3AJnfYPfCfx0AJbZg4BSqSDLyoIsPR2yrEzIUtMAhRK0XgfGYYe7r2+WhPyRoVwOKBRI2rgRzo8/Duv9uOrqoAzSEi6Xy6GVyzEWoGmAlclAMQyQnw/NeedBc+4uKH26E8mGzrIsHAcPInnTJkCphP7uu0FPTMy+iKJgfvY5ZN12a1jnHwzhDCSKiXC84q1WK1QqFZKTk7Fy5UqsXLkyZufFsixuueUW7NixA6uj6FaMO5EITW2F2uBDtfYKgRjRgslkQl1dHTIyMlBdXT3niTfWRGI0GsGyLHJzc7F8+XLRW4sDbeTT09Oora1FXl4eVq5cGfTLOv3EE7AF8IeWUxQKJibhdjggV6nCGkgMBX7tBMDJdI1ej97eXqhUKq9oRSgacrJxVWcHdrIsbsnLh4ZspP5AUcj8/vehufTLMD/1FOz/2w/F4iLICwphUSkxw7IoKS6elcK3WsFaTvzviX/TU1Pw9PfP/sxmA2O1Ak7nLJmQqIiioCgtRfaDv4a8qAiO//0P7v4BuBrq4WpqButwzNZKKGpurUQuh+N4LTQXXhj0Pfta5EIuB2ga8sJCUKefDsvaNdCnpcFmtyN9ZgbZAwNeHUoktcVarTDc/RMoiouhWrsWzsM8qwCahvXVV5H+zeshF8khNV6pLbJ/CSWS+bAQAIDvfe97aGxsxMGDB6M6TtyJRAjkcjmcTmfA3wtp7RW6TjQRycjICFpbW1FeXo6ysjK/NwIhErE1jkh3WldXFwCITiLASSLxPXfioLhs2TKUlJQEXJdlWdiOHIHxT48EXUdJ03C1tEC5Zg2A2WsWiy8VcdlbsmQJaJrmnAw7OzvhcrlAURR0Oh00Gg2ne0RPT8PT0wvIZiXrP/jwQzzw4IMocLvhqapC1s9/AcX778P+zjuzi/hu1CwLKnW2TpN+zTVIv+Ya7le20VG4JiehWb8+rPfBut3Q3XobnJ98AgDQXHIJMn/4A1An5G5Szj3pYc/SNNzdPXA1NsLZUA/bp8dAGQyzvzxBBs5jx0Ku6Rk5mX6UFxQg5dxzoT5nJ5Q8nbgKzD7g6fV6bgKcDPJ5PJ7Z6CAzE7l//zt0N30P1pdemrsQTcP60ktI/+Y3w7omgRCv1BbZV4SsbbFY5kVC/qabbsLrr7+Ojz76CIsXL47qWAlBJKFSFoFSW+G09gpBpERCUmqjo6NBi8vAyRtJTCKhaRotLS3Q6/WoqanBsWPHYvLk5Xvu/GJ+qPfNsiycIyOYvO3HIddhKAp0bR3U1dUc6dI0DbfbzW1ARNJGLMjlci9vEJvNhrq6OszMzODIkSNQq9Wzxfo//xnMJ4e4v1sF4OlFJ3L4Njvct9+OUCOtsgCbRKTRFqVUInnjBrjq66H9+c+hPuvMwK+Vy6FaXgnV8kqkXvplWAcHYervx1K3G66GBjjr6sB66JD3Z/KmjUi/8UYkbzkFyiAPLcnJyXM6lPR6PWiaRkNDA9LS0pBjs0FpDWB0xTAwP/scUr/2Nb+SK+EinkQil8sFfedJ62+sIhKWZXHTTTfh1VdfxQcffCCKynBCEEko+Nvgw23tFYJIaiRkQI6k1EIpdvLVjMW4oR0OB+rq6kBRFLZu3RpT2X1yY7Msy11/s9kcsphPVH4ND/5GWOcQy8Jx6BNk3fBtALOfdWtrK5xOJ7RarddnJJPJ5qgHRwtSXFapVCgrK0NWVhYXrUyUVyCXRySCjuczMBhO15ZQpH71q0j9yldAhTkfxLIsoNUiZfVqpJx9tuC/k+fmIv3aa0K/kAd+h9LQ0BDWrVsHu04H989+DtbjDmi9y1ossL3+X6RedmlY6/lDPGsk4bgjxjIiufHGG/Hss8/itddeQ1paGsbHxwEAGRkZYQ8pE8SnoTpM+BKJxWLBoUOHuAltMUiErENSN0JgMplw6NAhJCUl4ZRTThEk+0xuYjHqJEajEYcOHUJqaio2b96M5ORkr81ebJBj2+12HDlyBG63WxCJ0DQNmqaRdtFFSNm1C3K+14mfjZMC4GppBWOxcNP4drsdp5xyCrKyspCUlASFQsEVaz0eDzweD9xuN2iaFr0GpVAokJubixUrVqD86q9BJ5eDEXJ9ZTIkbd2CwrffQuYdt4M6MYgoS/M/MR9NlErJ5WGTCFkzXl1MSUollH96BHKDARQT/HrOPPUU2CjVLYD4RiRC1411auvRRx+FyWTCGWecwcm6FBYW4oUXXoj4mAkRkQhJbZE5kkhbe4WAHy2Eagsl+k+Bhu0Cga9+Gg3I+pWVlSguLvYa1hPj+P5A1jhy5AgKCgpCKgYzDMP9J5PJkHL6aUg5fbZPnZ6ZgautHaa/PwZnaxvk6emzU9KY7dyiGAbTH3+MVo0G6enpXrUvfhTCX4NhGL/Rilgbx/j4OC677DIUDw/h14Uh7I9lMsi0WmjvuQcylQqpl1yClF274Pj0Uygrl4lyPmIgHp7t5GHN8exzcB4+LOhvmIkJdDzxT6Tt2Q2tVhvxk3M8i+2JYrMbi4fMBROReDwetLW1oaWlBevWrYvK/CnYOkBgPwxg9kZsaWlBR0cHampqAhbVA4Hk9iPd6InoIlnft7hNUVTMnAxJCFxaWhq0M4uksmia5p54fa+RPD0d6lM2A5QMKTu2Y/Fb+/D0rnPwjaFBHKkoh2Ln2Wg1TnOOlYG+hDKZDAqFgpNQUalUc6IVl8sVdbTS1taGs88+G/X19TiiUoEO0dXFAui/4nIc7+xET08PpqenAY0GKWedFbQZIR6b+nyvST4DSu4znBns4Y2ioHnrLYyPjeHw4cM4fPgwurq6YDAYwkpHx7tGIgQLTWcLSJCIJBRomua8lSNt7RWCUNGCw+FAfX09GIaJSPSQIFIicblcqK+vh8vlClqPEZtIWJZFZ2cn52ldVFQUdDMkBELOJeBrGQau9nZkfOPrAAB3cjIO2Wyo0GqRc+65qKqqwqJFIZ78eSAbBPnCihWtfPjhh7jqqqtgMpmwatkyPH/ddVC8/AqCPddl3XIzCi6+mGsv9ieLL7ZRWySIh3giuTfSrrkGmV//OjxDQ3C3tMLV0gxnQwPcXd2zMzb8FmWWBTU4iJUOB5SnnsoNmba1tcHtdnPS+ESy3R9I48ZCIJL56NoSEwlBJMFuZKLvDwBbtmyJaVhKUVTAzi2j0Yj6+npkZ2dH1WIMRNYdRvS60tPTUVNTEzT1JqYlrsfjQWNjIywWC7Zs2YKDBw8GPDYhEbI5hfrCegYHwVqtUFVVcecNzF7rmpqasGY5/ME3BcYnORKtACejRH/n/Oqrr+LOO++E0uPBL9ZX47KkJODpZ5C8axechw+DOTGEyFsU6jPOgOayy0BRFAoKClBQUACWZWE2m6HT6bwMpwippKenf/4ikhMPGcriYiiLi5Gye9YCmXW54OrshLulBc7mFrjq60GfiIan//AwCl/+t5dzodVqhcFgwNTUFCfZzncu5D9YAOI1ZYT7niUiiQP4rb1lZWXo7u6elxvA3yZPTKBCzUkIRbgRycTEBBobGzm9LiH2xGJEJHa7HcePH0dSUhK2bNkClUoVMNrhk4jQuQ9naysAQFVVBY/Hg8kTNZLc3NyoScQX/qIVQir+ohWKovD000/jpaeewnWZWfhmQQE0bjc0u3Yh7dproVhcBMvLL2P61w/yF4G8oABZP/3JnPdPURTS09ORnp7OyeKTaGV4eBgURSEpKQkymQxut3veFGrjSSSBvs+USoWk1auRtHo1Uk/YmtDT03B89BFkPqrZFEVxirnFxcWcZDuZB3I6nZx6QXp6etB1Y4lwiu1WqzVm6uCxQkISiW9rb0pKCrq7u+elUMZvAWYYBq2trZicnAzbBCrUGkI2epZl0dPTg76+vrD83MUgEqPRiLq6OhQUFGDFihVeLba+EUkkJAIArtY2KBYvhlulQv2xY9wa87GxBYpWGIaB0+nEXd//PlL278d7S8uRqlAg7cILkX7dtVDwPgPNBRdg5rG/z/pzAIBcjuzf/Tagui8fRBK/sLCQm6/o7e2FxWLBwYMHuWglJycn5jMF872xEvIK5z3JMzOh+eIXQ76OSLaTeSC73c4NRPb29gIAOjs7kZOTI0hrTSxINZJ5AP+G8qfaSzb2+TClITIpZD4DALZu3RpxPcQfhGz0vuKH4fi5R+utTlIv/mx4+ccmKSL+1G44m4OrtRXUsmU4cuQIcnNzUXRCnC+WEjL+wI9WjIODeOGqq3CDaQZKbTZGV6/G0vvvgzw3FyxFeQ1DUioV0q67DqaHZp0Ys+68E6pl4XdkkfkKrVaLpKQkVFRUcNHK4OCgl7SLVqsVdfOLV0QyH+RFUZSXeoHZbMaxY8egUCg4rTViMMX3sYkFwtm7Yj1HEgskBJEQBGrtJTedx+OJeYFSLpfDZDKhsbERubm5WLlyZUwmxIPVSGw2G2pra6FSqYKKHwY7fiSbMcuynOhlTU0Np0nFB18mhRSxyc/D+RKyNA1nezt0O89GSUkJSkpKsHfvXgDBu+ZiBdpgwMijj8L28is4nWHwb4sFG++9B+decYVXtOKbAkv54gUwP/0vJG/bBs0FX4j6PEiKK5AsfktLCzIyMjhiESqLHwjxIhKha7Isi/FLvgy4XFCUlkBRUgLFkuJZJeTiJbPaXmEQq1wux7Jly7Bs2TIvZWjiY0NIxZ/rZjSgaVrw8SwWixSRRALS0hpItZeiKMEKwNGAZVm43W50d3ejqqoqasmVQAgmDqnX61FfX49FixZh+fLlET25RUIkvrLzgZ6ISI0knKK6L1iWRf/AACyrV6Hoy19GQWkpAGHt12LDMzWFmaf+hZmXXoLN6cQzBj1eZ1k88cor2LhxI/c639oKSYcxCgWyn38esqSkqKVb/EWRvrL4RLsqUll8f2vGo8Af1jViGNATE6AnJuA8Xjvb0UWu1QnLX0VpKZQlJVAsXQrNF84H5WfT9o2EfA2mCGEPDAygpaWFc93UarVIT0+P6jrRNC1YCt5qtYaVgUgEJASRjIyMhGztjYXpFB9Er8rhcKC0tHROSkdM+NvoWZbF4OAgOjs7UVVVFZWIWrjtvyQCSkpKCik7T1EUPB5P2PUQAvLQoNfrsf53v+MKoADmdNfEEp7xccw8+RTMr74KWibD47opPD4xAW1JCd544w2UniA3X/gdhjzxYCDGMGSo68nXrqJpmtv8IpXFT/SIhKIopJx7Lsz//OdsG7DvdDvDgB4bAz02NjvcyLJQrayCyo9tbLAaK5+wAXCumwaDAUNDQ6Cok3a4kbRuJ5JESiyQEESyZMkS5OXlBb3QkbgkCgXx0SDKpLE0kQHmEgkZcpyamsLGjRtFaXsVWiMxGAyoq6tDYWGhV1HdH1iWhVwuR1dXF/Lz85GXlxdW7cjtdnNS/0TSxfe8gdhHJJbXX4f+V/dBptGgt6YGVz77DExuNzZv3oxXXnlF8PX3V7An5CK0vZiPcOtaJBWj1WqxbNky2Gw2LlXjTxbf3/crHsX2cGsk6p1nw/z446FfSFFQ7zrHL4mEu65vetFsNnMddqR1m5BKenp6yOMK7doi7cxSaisCkPmNYIhVaoukkojkR1NTU8w3Mj6ROJ1O1NXVcUOOYpCY0NRWsKI6H/yayLp166DX66HT6dDV1YWUlBTk5uYiJycHGRkZAb8sVqsV9fX10Gg0qK6u9vt5k5/FQsKBD8WiRcj8wQ/w57Y23P+H3wMAvvSlL+GJJ56IuAYXbntxoGglmuiAFJYXL17sVxbfN1oBFkZqS1lRAXnRItAj/p0zAQAUBVlWFrJuvz3gSyIVbJTJZMjIyEBGRgbXuk0Imwya8gci/X2Hpa6tBIHYqS2WZTEwMICuri6sWLECS5Ysick6/kCK7SaTCbW1taIMOfIRKrUlpKjOfy2/qK7RaJCamoqSkhK43W5uEKyhoQEsy3Ktlzk5OVyKzGAwoLGxEYsWLQqqjzZfEQm1Zg1++H//hxdffBEA8MMf/hC/+tWvRN1QIxmGFHNT9yeLTx4Auru7kZycjOzsbDidzpgTty/CnaY/md56cq6/CwHLQnvPLyELUlsQq1tMpVLNGTTV6/UYGxtDR0cHUlJSOFLJzMzkvu8SkcQYQl0SxUpt0TSN5uZmGAyGORL0sXYwBE52hvX19YUt+igEwVJbJL1kt9uDFtWBuXInvl9CpVKJ/Px85Ofng2VZzMzMYGpqiitWZmRkICkpCZOTk5xfjD846uqQtH79vBTbjUYjrrjiChw8eBByuRwPPfQQvimSaVIgCI1WSBFf7PZYIotPPNc9Hg8XrVgsFpjNZkxPT3OpGjFb3f0hkvenPvtsmB9/wv8vKQqayy9D8ubNoq8bCvxB07KyMrjdbu7atra2gqZpZGVlwel0Ctq/iByUVCOJEcSKFIhhkUKhwLZt25B0wkVO7HUCgWVZmEwmWCwWVFdXBzWDihSByNBms+H48eNQq9XYsmVL0KJ6uEOGFEVx4X9FRQXsdjva2tq4afX+/n5YrVZuEIxsqrZPPsHU926CoqwM6VtOASBesd0zNQXLq68i/dprIVOpMDAwgIsuuoh7avzXv/6F8847T5S1woG/aGV6ehoTExPcRk9eR9qqxdwAiSx+bm4ubDYbsrKyIJPJMDk5yaUrSQosWLoyUkRSl1EuWwb5okWgR33SWzIZFEVFyLzxxpDHmI+BZqVSOUe+hXTZtbe3Y+CE5XB2djYyMzPnnI/lhG+N1LUVI4hRI9HpdGhoaAhaWJbL5XC5XFGtEwj8aCA/Pz8mJAL4T22RorqQtmJ+6iWSziyaptHZ2QmbzYatW7ciOTkZBoMBOp2OE9nTarXIyclB5olWb09fHzb39eEnefloi+L6Mw4H7B9+CMvr/4Xj0KwBVVLNBrTJKFxyySWYnJxEbm4uXnvtNaxbty7idcSCTCaDXq/nJHCWLFniVbDnz+kIKdhHguTkZBQWFqKkpAQej4fL/7e0tICmaS+hSd8Hr0gQiVDkbHprF8xPPjUnvaW9/z5QAmqL8638y5dvGRgYwNq1a7l0cEdHh1fdiohNWq1WAIhpausvf/kLfvvb32JsbAyrVq3Cww8/jFNPPTWqYyYEkQhNbUVKJCzLoq+vDz09PVi5ciU3Qe0PoYYFI4XFYkFtbS00Gg0WL14MtzuUIWvk8E1tDQ0Nob293asW5A/8onog+fdQII6RMpkMmzdv5orX5AmYZVlYLBbodDqMjo6iw2BAOWbNrCgAl2dmwjU4BPOLLyL14osFDZuxDANnbS0sb7wJ27vvgrXbOcMsSq3G++NjuPraa2G321FZWYk33ngj6D0wnxgbG0Nra6uX0jE/BRZsGFIMrxXfuoxCofB6orZYLF75f41G4yU0Gcn6kW7o6rN3wvzEP71+lv7tb0G1YoWgv4+XOyJZW6VSITMzk/se8Lvsenp68Jvf/AZZWVkoKiqC3W6PyfD1Cy+8gB/+8If4y1/+gu3bt+Nvf/sbdu/ejdbW1qhGHhKCSIDQsh6REonH40FzczOmp6exefNmZGRkBH19sGHBSDE5OYnGxkYUFxdj2bJl6O3thcPhEPz3r7zyCj755BPs2bMHO3bsCHmDkdQWw5z0kg+lFeZbVI+ERMxmM+rq6qDVagP6lVAUhbS0NKSlpaGsrAwulwtjaWmA2QwAkFMUklkWhl8/iJkXXkT2nXcgmTcYyIe7rw+WN/fC+t/XQU/pALl8dlht9g0BMhmGSopx+Ve+AoZhsGPHDrz44osh74H5wsDAAHp6erBu3Trk5OTM+X2g2kqk7cX+EKzAz/+sSktLuafpaGXxI205VlYug7ywEPTYGEBRUK6sQtrVVwv++3iZWpHPi782v261ZMkS0DQNg8GAV199FXq9Hrm5udixYwfOO+88fO1rX0Mh31U0Cvz+97/HN77xDVx//fUAgIcffhhvv/02Hn30UTzwwAMRHzdhiCQUFAoFnE5nWH9jtVpRV1cHlUrF6XaFgpg1EpZl0dvbi97eXqxevZq7GcIlq2eeeQZvvvkm/vznPyM9PR27du3Cnj17cO655/rtuJLJZPB4PKitrYXD4QjpJR+qqC4EU1NTaGpqQllZWVjNAyqVCsqiRXC3d3A/I3/p7u/HxLe+DWzdCu2PfoS0pWWgTSZY9+6F5fXX4e7oBGSyk6kO38+NYfDAe/8DwzC4/PLL8be//W3eVHWDgWVZdHV1cQQvlNj8DkNG6bUSTqeYb3MFkcUfGRnxK4sf6LiReqBQFAX1OTtheepfswKZ994bljxKPE2tAAQlMblcjosvvhi5ubmora3F/v378c477+Ctt97CeeedJwqRuFwuHD9+HHfccYfXz3ft2oVPPvkkqmMvGCIJd4MnLamLFy9GZWWl4BtILCLhR0KnnHKK1wR3uJ1h119/PXJycrBv3z5MTk7i3//+N/79739DJpNh69atOP/883H++edzrpFEkj0rKwtbtmwJKpvBj0QiiULIRH5PTw9WrVoVkfy1YlHRLCn4RKQUEYc8cgS6yy9H/3nnQjM+Dvnx2pMvCnIdXQyDQzYrbr/9dvz0pz+d93kJfyDDpyaTCZs3bw5K8MEg1jBkpC3HQmTx+dEKn8Cj2dCTd+yA5al/Ie2qq6AIkqb1B4Zh5k3t13ddIDiREJDW34qKClRUVOC73/2uaOeh0+lA0/Sc72h+fj7nfhopEoZIxEpt8aOAVatWheWwB4jT/mu321FbWwuFQoGtW7fOKVCGu8bu3buxe/duMAyDY8eO4c0338TevXvR1NSEjz/+GB9//DHuuusulJeX46yzzkJJSQk2bdqEmpqaoJtEpPLvBCR1RmT2I00ZKQoLZ9NSAdojKYYBBSD9zb3wVFaCTk6GzOUCFeQa0iyLw3Y7fv9//4drrrkmovMSG0TPzO12Y9OmTaIUroHohiHFmmz3lcUn0crg4OCcaCUqIqmuRv5LL0FZWhL235I6xXyD1GaEfL9sNlvEDxdC4XseYswvJQyRhIKQORLi5mc2m+dEAeGsE01EYjAYUF9fj/z8fFRVVfn9wkRa0CcF7M2bN+OXv/wlBgYGsG/fPrz55pv48MMP0dPTg56eHgCz7YPnnXcezj//fJx77rlzZD/4aZFISMTtdqOxsREulwubN2+OavZAkZ8fNLIAAMhkkKWlYdFNN0FekI/xb34LzMxMQDKRAVhxzTXYlCAkQhQMVCoVNm7cGNMn42DDkL51MPJ7sdcnreDl5eWcbhWRxWdZFsnJyZiYmIhIZTcSEgHim9oSum4slX9zcnIgl8vnRB+Tk5NRG2ktGCIJ1f7L9zGJRHqdIBoiIU6KoSRHxCrol5SU4IYbbsC3vvUtHD9+HPv27UN3dzfee+89GAwGvPTSS3jppZcgl8uxbds2nH/++dizZw8qKioi9hABZp+a6uvroVarsWnTpqg3RXlhQWAioSiAZaHZfR6ybr0V8hNRT+FTT2Li+m+C1un8/i1FUSi55OJ58bAJBVKry8zMDNiEECsEK9hbrVau1d3tdsesvdhXt4qIo/b396O1tZVT2c3JyYlaFj8Y4lVsTxS/dpVKhQ0bNuDdd9/FRRddxP383XffxYUXXhjVsRcMkQTb4ElX1JIlS7g6QaSIJFogirYTExOCnBTFnJ53u92or6+H0+nErbfeipSUFHR1deHw4cPo7OzE3r170dLSggMHDuDAgQO44447UFFRgd27d+P888/H1q1bwyKC6elp1NfXo7CwMOprTaAI8jQky8hAzr33QL19u9fPlYsXQ3v77Zi69VawOFmgBwAWAFNSgo7JSbiGh7lNKicnJ+aCnL4wmUyoq6tDUVERKioq4l6nIdEK8dxZvHgxMjMzvQzK+K8j/1/M9VUqFVJSUlBeXu4liz8wMACFQsHNGIntYBiv9t9Ekke55ZZb8LWvfQ0bN27E1q1b8dhjj2FwcBA33HBDVMdNGCIJ9QXzRyQsy6K7uxv9/f1eXVHRINxogcxNeDwewU6KYhGJ1WrF8ePHodFovIrqSqUSq1evxte+9jXce++96Ovrw969e/Hmm2/iwIED6O7uxiOPPIJHHnkEWVlZOOecc7Bnzx6cc845XnIxviAzD5WVlUHnUcKFwsdCmAYgByDLzIRMq/UrfeFqb4fu5z+HPicHhuFhlKlUUJDZEZkM2vP3oGzHDm5mZWxsDO3t7UhNTeVEJqP1mAgFnU6HxsZGVFRUxNSWIFyQ9Gt5eTlKSk6miWLRXuwP/K4tviw+wzCc37qvLH4WRUGzaBFkUUQU8UxtJUJEAgCXX3459Ho97rnnHoyNjWH16tXYu3ev130QCRKGSELBt0ZCcvTEiEksSQFCWEIKUDMzM6itrUVmZiY2btwo+GYRg0jIlD7pSuOfq+/xS0tL8e1vfxvf/OY3YbFYsH//fuzduxdvv/029Ho9XnzxRbz44oucbMyePXuwZ88elJeXAzjZwDA4OBhw5iEayLRabgaEYVnoZTKseexvkKWlYeyqq2B6/Alkfvtb3OvdvX2Y+O6NGKcofOGTjyED8Or69Vhkd8ymuRgGKaed5ndmRa/XY2pqCoODg5DJZMjJyUFubq7oFrajo6Noa2vDqlWrUOBDlPHE5OQkmpqavAYgCQLVVsQehiQbOuvxwHm8FkmbNoI6cTy+LL7dbod+agq2p5/G9H9eQ+d3bkDqtm1BZfGFrDvfCCelFmsiAYDvfve7onaDAQuISEiNhOjX1NbWIiUlJaQRU7jg55KDffjEFnjp0qVYunRpWE+20U7Pk1pMIAMsvkSKb1E9IyMDF110ES666CLQNI2jR49i79692LdvH9ra2vDRRx/ho48+wh133IHly5fjvPPO49wiN23aFJOwm5LJIM/NhWdiAk8a9Nifn4+PNmwAAGRcey1M//gHUs4+C6qKCrhHRjD+ne9gxGbDxS3NsDIMfvrTn2LzTTdh6uab4Tx2HPKcHCj9eKf7dhZNT09zarhEc4pEK5F2zrAsi/7+fvT396O6ujpkmnM+MTIygvb2dqxZs2aOC6kv+LUVci+JFa2QTjHLv1+G6aGHkP7d7yL9umvnvE7ldCL5od8Dhw4h9bproT7/fBimp4PK4gfDQqmRJIrqQjhIGCIRktoCZjfwlpYWlJaWxiTnzJcyD2QE1NXVxT2dh/pC+kOkxXZ+LSaYARZ/sj1YUV0ul2Pr1q3YunUr7r33XvT29mLfvn3Yu3cvDh48iI6ODnR0zA4KZmVl4dxzz8WePXuwc+dO0afDc+6/D8ebmvDbG27AKt41zbj+etj2vw/9L+9Bzm9/g7FvfgtjOh0u7+qETS7HP/7+d1xxxRUAgPxHHoH+/gegqloR8r7gP/1WVlbCZrNBp9NhamoKnZ2dSElJ4eoqRAo8FIg8P/l8Ekl4r7+/H319fRGRm2+tJNphSIZhQLndnFnVzKOPImntWiRtqOFe42xshOGuu8E6HMh5+GEkb9sKAMjJy/My8fKVxQ8khkjWTfSuLZvNtuAk5IEEIpJQIB9ES0sL1q5dG3W7WiAEs3v1TadF+oFHktpyuVxoaGiA0+nEli1bgj6B8X3Vyb+FEO7SpUtx44034sYbb8To6CieeOIJ1NbW4siRIzAajXj++efx/PPPQ6FQYMeOHVwKrKysLKz34g/J69fDYzIB8L72lEqF7J/9DOPXXYfhK74CnWkaV/X2wqXR4L8vvuglNkclJSHnl7+IaP2UlBQUFxdz6rvEu6OpqQkMwyA7Oxu5ubkBpUCINYHFYom6HVpMkDriyMgINmzYEFFLvC+CtRcLiVZYlgW1/30wRiNOvBD6O+5A/vPPQabVwvLcczD96RGoVq2C9r77oCjw/q77yovwZfHb29vhdrs5oym+LL5UbI8dFgSRkE0UAKqrq0XP0fNBbnrf1BNJp6nV6qjTaURUUeggEBF8TE1NFTSprlQqMTMzg+PHj3NiiUL8uwl0Oh06OjpwxRVX4K677gJN0zhy5AiXAuvo6MAHH3yADz74AD/+8Y9RVVWF3bt3Y8+ePdi8eXPE6YNAJK4sKwWt0UBmMuHOoWHICgrw4X//i8rKyojWCQWFQjHHZ0Wn03n5rJDaikajgcfjQX19PViWxaZNm+Iy9OYPLMuira0Ner0emzZtiknuPZJhSMbpBE6Yip34IzBmM/S33w4qMwvODz9E6pVXIuN7NwqSQOHL4vOl24ksvlqtRnZ2dsysukMhHCKxWCwLzosESCAiCbTJmc1m1NbWIi0tDXK5XLRp4GDw7RAjcititBcD3imCUDeYTqdDfX29oLXJk2FGRgZ27NjBpWp6enqQlJTEfdmCpWqGhobQ2dmJlStXcl1wCoUC27dvx/bt23Hfffehp6cHe/fuxd69e/Hxxx+jra0NbW1t+P3vf4+cnBxOC2znzp1hpXf4aUUCxm5H65VXgTWZYGUY3FJSgo379kaUUowEfJ8V0q6q0+mg0+nQ29sLpVIJhmGgVqtRXV2dMCTCMAyamppgtVqxadOmeWt7DlawJ/+pDh4Epqe9/5Cm4WpoBJRKZP/ut1CffnpE6/Ol231l8RmG4URFSbQyH9clnNqMzWZLqJSoUCQMkfgDKWiXlZWhvLwcH3zwQcxtWIGTxXBSOO3u7o5IbiUQ+E6AgW4womFFNvVQBTjfonpycjIWL17M+XeTbiWSqiFP1EQHieT3x8fHsWHDhqBtwOXl5bjppptw0003YXp6Gu+++y727t2Ld955BzqdDs8++yyeffZZKJVKnHrqqVwKLFSLoa9DIuN04tNLvoz00VF8fXgIWzafgh9XVs4bifgD/7qSrj2lUgmXy4UDBw7EdWaFgEixeDwebNy4MW7k5hut0DSNno4OaN7cG/iP3G5QIp4vkcXPzc3F2NgY1qxZA7PZjPHxcXR2dkKj0XDEEgsTL2D2fQvtCLRarTGXSIkFEpJIGIZBZ2cnhoeHvQraYtrtBgNZp6mpCXq9XpD8fDjgP7H5g9CiOnDSQyRUUZ3vMUEscfv6+tDc3IzMzEy4XC4wDBO2kGBmZiYuvfRSXHrppfB4PDh06BCXAuvq6sL+/fuxf/9+3HrrrVi5ciVHKr7t0i6XC9MnnlIZhoHb4cD/du9GmXEaNwwPY9OVV+J3f/hD3KfUCaanp1FXV4clS5ZwbdJWqxVTU1NxmVkhcLlcnAPohg0b4iJS6A+kVmN94w1kz8wEfiFFQX/3T5D3zDOQ5+eJtrETGRii+eUri9/c3Owli6/VakXLfghNbZG03EKMSChWbKGdCMGyLFwul1dRubq62itf+Mknn6C8vDxmhXaCAwcOgGVZqFQqrF+/PiZPlm+//TZOPfXUOZu2y+VCfX093G43ampqghZtfbWThBbV+TAajWhsbOTy2SkpKVwKLCMjI6rNj0zW79u3D4cOHfKKJnNycnDeeedhz549OPXUU3HDDTegrq4Oo6OjKCoqwt25udhus+OmkWGcddttuO222yI+D1+wLhcgk4UlQc7H5OQkmpubsWzZsoCDmfyZFb1ez82s5OTkIDs7OyYbvMPh4MzT1qxZEzcTJ19wtZrJSZT++kEwU5Oz8gOBIJdDsWI5sv7yF8iUSlGGId1uNw4cOIDTTjvN77Unsvhkyn5mZkawLH4oNDQ0IDs722+rvu85lJaW4u2338amTZsiWiteSIzHlRMgqYKMjAxUV1fP+cBj7acOzG6sZKZg48aNMfsy+uvc4hfVa2pqQhbVSe450i8ZkcnIy8vD8uXLwTAMt/nV1dV5DexlZ2eHHQ1UVlaisrISP/zhD2EwGPDOO+9g3759ePfdd6HT6fD000/j6aefhlKphEKhgN1uBwCMj4+j1eHEv50OtGs0ePyqq4KuY37p33C2tUGWngbWbgdrtYGx2cBYzGAtVjBWK1i7HYzNBtbpBGgayuWVWPTcc2Ffs+HhYXR2dmL16tVBU2yBZlZ6enrQ1NQkyswKH6QZJDs7G1VVVXGXYiEg2lozMzNYbTBgZnIy9B/RNDwtrbA9/jhSv/1tUYYh+UKV/sCXxSfDqyRaIY0+hFS0Wm1Y6cJwiu1SjSRKWCwWHDlyJOiAX6xTW8PDw2hra4NarUZhYWFMn+h8O8NIQZ+4KMZS/h0AJiYm0NLSgvLychQXF3NkRLqVGIaByWTC1NQUurq60NTUxGkg5ebmhh2labVaXHHFFbjiiivgdrvx8ccfc9FKb2+vl/UwTdP4s16HnJwcfPTBByGlb0z/+AdoskGRzyxEe7XyRDpKKPjT/dXV1UHTjb6IxcwKH+QBLFH0vAgYhkFjYyPsdjs2Vldj6tJLg/+BQnHSSkCphMzpgkqlithrxfdcwnngUqlUKCgoQEFBgZcs/tDQkJfQZHZ2NtLS0oJec6FE4na74XQ6F2T7b8KkthiGgcFgCMrGREFVjLkF37Xb29sxNjaG9evXo7+/H7m5uTHVR/rggw+wbt06ZGZmYmBgAF1dXYIK+tGSCGkg6Ovrw5o1a5Cbmyvo70j+f2pqCiaTicv/5+bmhvwihTqfjo4OPPLII3jyySfnSJrn5eVxKbCzzjrLb2uke2wMY5ddDtZqFbxuwTNPI6mqStBryf2h0+lQU1Mj6heddBVNTU1Bp9MJmlnhw2AwoKGhgXOmTBTQNM15r9TU1MD23POYfvjh2V9S1CzhkzmntDSoVqxAUlUVVMsroVy+HMriYr+pR99hSP79EixasVqtOHbsGE6PsBuMD74svsFggEwm84pWfEcDjhw5goqKCr9upnwYDAaUlpbCaDQGbXZJRCRMRCKTyUKGdKGk5CMBqUm4XC7OknZoaCjmKTSZbNYOt6WlBVNTU9i0aVPQm4cU1cmXJ1IjqtbWVhgMBmzatCmsEJoMgJWWlnrl/4liKyGVcDWQKIrCsWPH8K9//WsOiVAUhcnJSTz11FN46qmnkJSUhDPOOAN79uzB7t27uU42ZWEh8v/yfxj/xvUBzbE4yGRIWrNGMInQNM09VW/evFn0ehnpKuI3QvibWcnJyUFqaqrXZ05qNcuXL08oWQ2Px4O6ujpQFMUV/C3/+Q8AQJ6bi6R1a6FavoIjDXlOjuB7OdJhSDGHEX1l8U0mE/R6/RxZ/OzsbKSmpgpe23riQWghzpEkTEQCzG7qwU6ntbUVcrkcy5cvF2U9MqOSnp6ONWvWcDWJxsZGpKSkoKKiQpR1/OHAgQPcTV5dXR3zojppYmAYBuvXrxetI4VhGBiNRi5acbvdXAtsbm5u0CdqlmXx61//Gr/61a+8fk6inb6+PhQUFGDXrl346KOP0N/f7/W6devWcV1g69evh23fW9D/9Kchzzn3od8h5cwzQ76OPGRQFIX169fPu987f2ZFr9dDpVJx19XhcKCjo0OQbtZ8gnSNKZVKrFu37uSgosMB1u2GPIb5f99hSP5eYjab0d7eju0+dgRigy+LbzQaIZfL4Xa7sXTpUhQVFQWte3Z0dOC0006DxWJJmEYJoVhQRNLR0QGPx4NVq1ZFvdb4+Diampq4GRX+xtzS0gKFQiEaYfnCbDbjk08+QUZGRki3PP4TFxCZNwQxVkpLS8Pq1atj1kLLsiwsFguXppmZmUF6ejoXrfBNi1wuF2666SY8/fTTAGYVij0eD4aHh5GWloZPP/0Uu3fvxsqVK7mCfFtbG1dXOXLkiNe9UlBQgN27d+NauQK5Bw4EPkmFAll33I60888HFYRM7XY76urqoNFoYnrNhIKmaRiNRk4S3+PxICMjA4sWLYpqZoV1uzH9j39AvWkTkk8IZUYKp9PJianGu2vMdxhyaGgIk5OTqKmp4SKVWJh4+Z4D8e9JTk6G0+nkIkytVjvHxOv48eO49NJLMTk5mTB1LqFYUETS09MDq9WKtWvXRrwG38MkkGZXe3s7WJZFlcD0RzggJlxyuRyVlZVBUxJ8EokkCgFO5tAXL14874VYp9PJFZX1ej03XZ+UlIQbb7wRH3zwAWQyGR588EFcf/31qK+vx5lnngmNRoPJyUmMjY0FrBNMTU3h7bffxr59+/Dee+/BYrEAmDW4enRJMXakpMDfFqEsL4e7txeyzEykffkSpF16KeQ+kjskUs3Ly8OKFaEFIOcLLMuip6cHQ0NDWLFiBRexkJoViVaEtqoyFgsmf3QrnJ9+iuRt25D/50ciOi9ap8PMxx9j7O13kDwwgLwf3YLUs86K6FixwNDQELq6urBmzRqkp6dzaTBAfK8VX7Asi/fffx/btm0Dy7Je0YpSqeTawVNTU3H06FHceOON6Ovrm5d7rr+/H/feey/279+P8fFxLFq0CFdddRXuvvvusIdYE6ZGAsx+qMGIJNr2XzJkODMzE9TDRC6Xw+l0RryOP/Cn5FevXo3h4eGg71WMziwiG75ixYq45NCTkpI40yKapmEwGNDU1ITvfe97GBgYQHJyMv74xz/i8ssvh1Kp5Hw7yGccrFsrNzcXV111Fa666io4nU4cOHCAUy6+ZWgYL5SUoIRndgUAbJIK+U88DsZggPm55zHz9DMw/fNJaM47F+lXXglVZSVHvCUlJSgrKxP9C806nYBcHvYMC183a/PmzVwene+zotPpUFtbK2hmxTM5ickbb4S7rx8A4Dx+HKzbDUpA+o6xWOA4XgvH0aNwHD0Kd08PAEC9uAjpp5+O5DVrwnpvscTg4CB6enpQU1PD1SBj6bXiC5KOlsvlUCqVXmoTxMSrtbUVV155JUpLS6FUKtHV1RWyc1MMtLe3g2EY/O1vf0NFRQWam5vxzW9+E1arFb/73e/COlZCRSRutzuoKu7Q0BDGx8cjGtax2Wyora3lhgyDMW5PTw8sFgvWrVsX9jr+QHrpdTodqqurkZmZyQkq+naG8Yvq0XRmdXV1YXR0FGvXrk0YT4yGhgZcfPHFGB8fR3Z2Nh555BHk5+fDYrEgMzMTNE3jrLPOgkqlgpEow4YJlmXR0tKCD196CWf+9w0ksyzkFAUPy+JfRgOeVig4gcnTamrgeettmF94HvT4BGTr1mKkZgMWf+lCLBbRARIA3CMjMD//PCyvvArNnj3IvvsuwX/LMAyam5thNptDDqny27Z1Op1fnxVXVxcmvnsjmOlprnMKAPIf/weS16+fc0zW5YKzsRH2I7PE4WptBWga8sJCKKqrMazNQvqOHVi2aVPCRG/ASen8mpqaoMoUvs6QYkYrLpcLBw8exOmnnx4wPUr2h7/+9a948803YbFYsGTJEuzevRu/+MUvQnZ7iYnf/va3ePTRR9Hb2xvW3yVURBIKkUYker0e9fX1WLRoEZYvXx7ypojUL8QfSPGRpmls3bqVy2X7G0j0LapHQiI0TXuJ9SVKB8g777yDq666ClarFUuXLsUbb7zBaW/Z7XbodDq0tbUBmI0cu7q6uLmKcK4BRVFYvXo1Vq9eDceFX8LEt74FMAxkFIVXnE6MTU3h8ccfx+OPPw61Wo0zzzwT519yCTa43VC9/TYKn3gC1HvvYeYrX0HqFy+ALIphQZZl4ayvx8y/nob9ww9n214ZBuyJwUsh8Hg8aGxshNvtFqQsLJPJkJWVhaysLK+ZFZ1Oh87OTmQODiHn738H5XZ7z9rIZHAcPYrk9evB0jRcHR1cxOGsrwfrcEKWmYnkTZuQ+sUvInnzJtjS0zmZmHDN3WKNvr4+DAwMCJLO9+0Ei8ZrxRd86aJg669ZswabNm3C8PAw/vvf/2L//v14++23532mxGQyRfTguaCIJNz2X5ZluRmNQG6C/iDWBD3JtWdkZGDNmjVeTyS+RCJGUd3hcKC+vh4KhQKbN2+e9y6jQHjiiSfwgx/8ADRN45RTTsHLL7/sNdCnVquxZMkSbpNkGAZOp5ObKOZP14cjLZJcUw3tT+6G4Z57oTnrLBz91b346KOPuBTY8PAwp2IMzHaBXXvWmTjTbIHnoYdgevRRpF50EdKuuHyOr3wwsG43rO+8i5l//Qvuzs5ZG2GWnf1PoQClEUZOpGtMJpNFrJvF91mZef11GP/yl9l7zDcRwTCw/vcNuDo64Tx+HMzMDCi1Gkk1Ncj87neRvHkzlBUVoE7cl9PT06irrU24+RUA3ODohg0bwp4S99deHM0wJBlGFEKyxGZXo9HgggsuwAUXXBDWuUeLnp4ePPLII3jooYfC/tuEIhIhLolCN3h+OimU8GE06wTC5OQkNyjm2xXmu4YY9ZCZmRnU19dzEhmJ0D7Isix++ctf4re//S0A4KKLLsLjjz8e8KmaT7SkM4+kaYi0iFar5dI0Qsyj0r70JcjT06FaswaK5GTs2rULu3btwu9//3s0NjbiySefxAcffICOjg40NDTg5hPktX7xYtxSUIDqF1/EzDPPIOXss6G9/ceQB7mPaKMRlpdfwcxzz82aNpHP0edekqlDEwnRzSIdUNF0jbEsi5l/PI7pv/wFwGxDgj+4R0bgTk1FyiUXI237DiSvWe23ZkJkQ4JpjcUDRH1gaGgoIhLxRSReK77fu3DlUcTIIPziF7/AL3/5y6Cv+fTTT7Fx40bu36OjozjvvPNw6aWX4vrrrw97zYQiklAQusE7HA7U1dUBgFc6SSii8VTnF9XXrFnDFZD9reFb9IuURMhgGnk6TIQUg9PpxA033IAXTxgY3Xzzzbj33nuDnhv/S0iktzMzM5GZmcnZq05NTWFiYgIdHR3QaDRca3GwTqUUPx1ENE2DpmlcdtlleOCBB2A0GvH2229j79692L9/P+qHh3H18DBSKAqX5ebhio8+hD4tFVuvv35Op5+jsRHm51+A7b33ZkmDPO0HKD+GikiIbpZWq436oYB1u6F/4AFY//NayNdSAMx7dqO3qAhKqwU53d1cqyrZDIkVwYoVK0SzVRADpKNtZGQEGzdujElKKNgwpL+UNEVRcXFH/N73vsfZTwcCP4ocHR3FmWeeia1bt+Kxxx6LaM0FRSQKhSKk1pbJZOLE61atWhXRk1w0nurNzc2CpOcJWUUrdzIwMIDe3l6sWrUq5qrIQmEwGHDFFVfg448/hlwux+9//3tBTzn8z8rf9U9JSUFJSQlKSkrgdru51mLSqURIhb/x+QNfap3M8RQUFOCaa67BNddcA4fDgQ8++AD79u3Dvn378M+REfxzcgJoaAD1wAPYuHEjN12/csUKTFx7nfCL4/HAcfRTTHtoUJoUyFI0kGlSQKWkQJaSAhsLtA30I3/JEpQXFweMHoSA8Xgw9uVL4RkaEvYHcjmKdHpUffWr3MxKe3s7XC4XJ6s+OjqKNWvWJMy9Bpxs6R8dHcXGjRvnpS4YKloh96/L5eIeGkM9EFgsFlGIhHTsCcHIyAjOPPNMbNiwAU888UTEDy0J1bVF03RQorDb7fjwww9x7rnn+t10R0ZG0NraioqKiqiezEmbaji6PE6nE3V1dWBZFtXV1UGjIJZl0dnZCb1ej/Ly8rBlRYCT+k9TU1NYv369qH4p0aC/vx8XXXQRZxr0r3/9C+eee66gvzWbzVwEp9PpBPuek8EvMl3vdDq9puv5U/ykey8jIwOrVq0K+cVhWRYNDQ1cXaW2ttbr90uWLMGPqqtx5tg4lMF8NniQZWeDksvB2KxgbfaQApOUWj1LNuqUE6SjgSzlBPloUiDPyUX6tddA5nO9PDodRr5wAeByzf5ALp+TZvOFsqICi158wev9W61W9PT0YPKEMGZaWlrYMyuxAvkuTUxMYMOGDQnRXEKiFbfbjebmZsjlcqxYsQKAd7Tie+995zvfQUlJCe677755Oc/R0VGcfvrpKC4uxlNPPeW1BwXKpATCgopI+Ozv+/RKjLDWr18vWIgw2DrhpLbMZjOOHz+OzMzMkPlsEg4XFBTA5XKhpaWFcyzMy8sTVFB2u91obGyEy+XCKaecEjcnPl8cP34cl1xyCaamppCXl4fXXnstrOFR/nUL5/r7qusSgcnR0VG0t7cjLS2N861vb29HYWGhYMtkIo+yfv163HnnnRgbG8Nbb72FvXv34v3338fQ0BB+ODQEOYCr8vPxfW02klkWVJDnM+1tt0KzaxeAE+3eDgd0Q0Nor69HWX4BctPSwNqsYKw2jmwYm/WEPP6J/7XbwBiN8IyMgOrpRdrllwE+RKLIyUHJ4UPwTE7C1dICZ3MLnE2NcLW0nuwc4yvuAnB3d4M2GrlaEEVRnJw6qTuQLjChMyuxAhH8nJqawsaNGxPGWZBEIG1tbWAYBmvXrgVFUV7Fe2BuwV6sGolQvPPOO+ju7kZ3d/ecRqRw44sFFZEwDIN33nkHZ555JveU6Xa7UV9fD4fDgZqaGlE+CLPZjMOHD+Occ84J+dqJiQk0NjYGLKrzwS/SkRuICPVNTk5iamoKNpuNKyj7k2u32Wyoq6vjirCJ4oD35ptv4pprroHdbkdlZSXeeOONsIcgnU4n13o4NjYWsm1TCFwuF6ampjAyMgKTyQSFQoHCwkJOYDKa+oPdbscHH3zAybaMjY0hVSbDt7OzcXWWFjKKgr9Hirw//RHqHTu4f4+OjqKtrQ2rV6+el5QRyzDwDA7C2dwCV0sLHA0NcHd3AZ5Z8s575BGot28DMNtG29/f73cWg8yskBQjmVkh0UosN3aWZTlF5o0bNwqOXucDRD7f6XSipqbGq3vSty7K336/9KUv4aKLLsItt9wSj9OOComxC51AqCdEfgELOGkEpdFosHXrVtE2VVIjIdIk/sCyLPr6+tDT0xO0qM5/vb96CEVRyMjIQEZGBpYtW8Y9TY+Pj6OjowNpaWmc57TL5UJjY2NYT9Tzgb/97W+49dZbwTAMduzYgZdeeikiEvAttosBlUoFmUwGs9mMlStXIikpCVNTU2hpaYHH4+GepnNycsKWhVCr1di9ezd2794NlmVRX1/PtRO/0NKCW3NzsSstHR6W9Zqwp3nrDA4Ooru7G+vXr5+3wTNKJoOytBTK0lLgC+cDmC3Ku7q64O7rR9L6dVzxenh4GBs3bvTbAcWfWSHNECRa6erqglqt5kglEp+VQCBT/gaDISFJpKmpCQ6HAxs2bJjTgs+vrZDIhKZptLW14ciRI1i9evW8n7MYSKiIhGEYL4Mjf3jvvfdwyimnwG63o7GxUZARVLhwOp14//33sWvXLr83P03TaGlpgcFgQE1NTchNkz/gFE5RnTxNkyll4im9dOnSsAf1YgGGYXD33XfjT3/6EwDgiiuuwF//+teI51cYhuE2rMHBwag3Vn4zwrp167yOR6xVyfW1WCzIyMjwEpiMBqOjo9i3bx/aXnkF5wwMYIUqCQzLQkZRuGpyEsWnn4aNGzdi6dKlOOOMMxKmxgWIU3cI5LMSKWnzz621tRVGoxEbN25MmLQucJJE7Ha7XxIJhI6ODuzevRvXXXcd7r///rh/ryPBgiOS/fv3Iy8vD2NjY1i9enVI97xI4PF48N577+Hss8+eczMQhVMAgorqJBIBIpN/J0+Gg4ODKCkpgcPhwNTUFABwm14kNrjRwm634/rrr8d/TvhM3HHHHfjJT34S1ZeAZVmua6Wvry8qeXSyGY6Pj6O6ujok2ZPrqtPpYDAYkJyc7OVdH83TtNViQd0f/4Ss119HqtuNs3q6MX4ihSuTyXDKKadwsi3xFonkb9Q1NTWipKf4pK3T6WA2mzlVaH8+K8GO09LSApPJhA0bNiQciTQ3N8NqtWLDhg2CibKnpwfnnXceLr/8cvzud79LiPmvSJBQRMKyLFykw8QPPB4P3n//fcjlcmzcuFGUHLo/kFrMGWec4XWzEkvTrKyskNLivpPqkZAIiXxmZmawfv16bpNlWZbrUpqcnOS6lMjGF+nTnlDodDpceumlOHr0KJRKJf70pz/h6quvFuXYaWlpYBgG3d3dET8kkC/1zMxMRJshTdOccRd5muZP10cccdntcLS34/WODuzfvx+NjY1oamryek1ZWRlHKtu3b4/5Z+l1fjx/9Vhu1HxVaIPBwKng+s6s+Ds3s9mMDRs2iOanIwZYluW00DZu3Cj4M+vv78fu3btxwQUX4E9/+tOCJRFgARGJ3W5HbW0tbDZbWHInkeLtt9/Gqaeeym1CpKgezFOewF9RPVw4nU5OHmPdunUBb07SnklIxWw2i5qi8UVPTw++9KUvobe3F6mpqXj++edxpgCTKKHIzMyE2+1GV1dXRANvHo8HDQ0N8Hg8qK6ujnojZlnWSwTRarVyIoi5ublh5eeJ/azL5UJNTQ1UKhWGh4e51uIPP/zQS3U6PT0d55xzDnbv3o1du3bFtIZCNNpIWma+CIxvjKbT6biGCxKtJCcnR/y0Px8gURIhX6EENzQ0hPPOOw+7du3Co48+uqBJBFggRGIwGFBXV4eCggKYzWYUFxfHfKqW1GJSU1PR29uL3t7egP4lfIgxqW42m1FfX4/MzEysXLkyrLQVSdGQp72UlBTk5uYiLy8v6p7/w4cP49JLL4XBYEBhYSFef/11rFy5MuLj+YNWq4XT6UR7e3vY8hsk7ZiUlIS1a9fGpKONFJSnpqZgNBq56fqcnBxkZGQEvL5utxt1dXWQyWRYv36933OzWCx4//33uS4wksIEZlNgW7du5aIVMZstaJpGfX09aJpGdXV13DTayEMRub4mkwkajYZrfNm0aVPCRSKtra2Ynp7Gxo0bBZ/b2NgYzjvvPOzYsQP/7//9v7ibpomBhCISAHN8QAYHB9HR0YHly5ejuLgYx44dQ15e3hz5dbHx/vvvY926dRgaGuLyxbEqqvMxNTWF5uZmUfwwPB4P9Ho9JicnodPpuOnvvLw8aLXasJ6C/vOf/+DrX/86nE4nVq5cif/+979hDy0JQW5uLmw2G1paWsISAySyIllZWVi5cuW8POG53W6vFBiZqfCtWxHJHrVaLVg3i2EYHD9+nOsCa25u9vp9eXk5Ryrbtm2LePMn7fNkXiZR2smBk0O+9hMzLxRFRSzgKTZI55jRaAwrDTgxMYHdu3djw4YNc4YAFzISlkjIQM/ExATWr1/PzRfU19cjIyMDZWVlMT2PDz74gDOjqa6uDvq0IUZRHTjZCrpy5UrRN+lA3up5eXnIyckJuBGxLItHHnkEd911F1iWxZlnnokXXnghZoNTxJ+kqakJS5cuFfQ3JpMJdXV1KCoqmncXSAJ/0/VarRYZGRkYGRmJmuAGBwe5FNhHH33kFblnZmZi586d2LNnD3bt2iVYoNTlcnEePXx/9UQATdPc0G1NTQ3kcnnAmZWcnJx5HeTzbT8WSiI6nQ579uzBypUr8eyzzyYUaUeLhCMSl8vFyaGTUJufh25qaoJarUZFRUXMzsFkMuHw4cPIysrChg0bYl5UJ5P5ExMTWLduHefkFiv4a331l/enaRo//vGP8de//hUAcPXVV+PPf/5zTDecRYsWwWQyob6+HsuWLQv5eiIiWFFREfMoVShYloXNZsPw8DCGhobAsiw3XZ+bm4u0tLSoyM5sNmP//v3Yu3cv3nrrLeh0Ou53crkc27Zt46KVQNcwkfzVfUFqSaTO5e8hx263e3XZxWpmxRdkEFKv14dFIgaDAeeffz7Kysrw4osvJlSdRwwkHJEQEb5AciOtra2QyWScdo3YGB8fR1NTE5RKJZYvXx60c4hfD4nURY0YFzkcjjmkOV8gX0qS909NTYVGo8HPfvYzvPPOOwCAn//857jtttti/rS/ZMkSGAwG1NbWYvny5UFfS6yE52siPBwYjUbU19ejtLQUixYt4lJger2e61IiApPRbHo0TePYsWNcCqy1tdXr98uWLeNIhQzt2u12TtJnvtKAQkHqNQzDoLq6WtBTO5lZIdGKWDMrvvCVZBH6XTWZTLjggguQn5+PV155JaHqPGIhoYiEYRj873//Q1FRUcDOqI6ODng8Hs6vQiyQeY2+vj6sXbsW/f39WLx4cUCZDzGK6na7HXV1dUhOTo5ZcThcuN1utLe347rrrkNbWxuUSiV++ctf4qqrropaUkQISkpKoNPp8OmnnwYs5BNVgYGBAaxbty5hrIQJSJRUWVk5p7swUIqRFOyj3fT6+/u5FNiBAwe85rKysrJw1llnYdmyZTj33HOxKcGscWma9hI+jeT7EGhmhRC30JkVf8ft7OzE5ORkWCRiNptx4YUXIj09Ha+//npCzb6IiYQiEmC2KyZY6qSnpwdWqzUsMcBQIK2P09PTnDBdsKK+GCQyPT2NhoYG5Ofno7KyMmGeCtvb23HRRRdhcHAQ6enp+H//7/+hrKyMe9ILR1wyEtTW1oJhGKxcudLv/AdJLUxNTaG6ujpq8yKxMTY2htbWVkFREsuysFgsHKnwB/VI63Y0G/3MzAz+97//Ye/evXj77beh1+u53ykUCmzbtg179uzBnj17UF5eHvE6YsDj8aCurg4URaG6ulq09CmZWdHpdNDr9VAoFBxph7IbIGBZFl1dXRgfHw9LHNJqteLiiy+GQqHAm2++mTCikrFAwhGJ2+0O6gXS398Po9GI6upqUdYjHTXkBiZhZ11dHbKysrw6h8Qqqo+Pj3Ny94mS1weAAwcO4PLLL4fJZMLixYvx+uuvc+mlcMUlYwGaprl5gnilAYOBNEv4yrEIhdPp9GrdTkpK4q5vtHl/o9GI5557Dm1tbfjkk0/Q3t7u9fvly5dzKbBTTjllXqNjj8eD2tpayOVyrF+/PmY1uEAzKyRa8XcPE6+TsbGxsEjEZrPh0ksvhcfjwd69exPugUdsLDgiGRoawvj4ODZt2hT1WnwTrNWrV3t9URsbG6HRaLgnNV/DmkjlToif9OrVq6OWuxcTL7zwAm644Qa4XC6sXbsWr732WlCJEjIESfr9+eKS0T5J+wNpU2VZFuvXr0+oYiXf4nX9+vWiNEvQNM1pVfGjQfJfOO2+09PTqKur8/JX7+3t5VJgBw8e9FLd1mq12LVrF/bs2YOdO3fGVAeMzNcoFIp57Rzjz6zodDpMT0/PmQkC4OW6KLQzzOFw4PLLL4fZbMbbb7+dUDpqsULCEYnH4wmq/Do2NoaBgQFs2bIlqnXGxsbQ3Nwc0ASrubkZKpUKlZWVohTVaZrmhpfWr1+fME8oLMvid7/7HX7xi18AAM4991w888wzYT3t88Ul9Xo9kpKSOFIRQ1xSTP9ysUEKsJOTk6ipqYmJxSuJBsk1tlqtyMzM5KKVYE/JxF/dX72GwGQy4b333sPevXvxzjvvwGAwcL9TKBTYsWMHlwITs+3e7XZz7cdr166N6+fKnwkiKcCkpCTOnkIoGTidTlx55ZWYnJzEu+++K7gVe6FjwRHJ5OQkurq6sH379oiOT0LV/v5+rPv/7Z15WJTl3se/gIKogLIv7oCCgKxq2pVFaoqiM6iV5THLTm/nSj1Wr9X1ZufUyaNWtNnpzWwTl7yyBNxxiUVT02JHkFWRZWDYYRaYYWae9w/f+3EGWWafB7g/18UfgjA3w8z9fZ7f/ft9v6GhfV5137p1CwAQEBBg8HmIXC5HXl4eVCoVwsLCONO1oVAosHXrViQkJAAAXnrpJXz66acGdxGRN6QxzCVJVICrqysCAgI4c5YE3Pd/IiaC5iq19Wx9Je4FxGCSvEYbGxuRn5+PwMBArZ0gFAoFbty4wU7Xl5SUaHw9MDCQLYHNmTNH782fzLCQRhOu/V1v3bqF+vp6Vky0mVnp7u7Gc889h7t37yI1NdVssQBcYNAJSXNzMwoLC7FgwQKdfzY5VG9vb0dERES/dwWlpaXo7u7GjBkzDBIRsViM3NxcODo66p0hbwpEIhHWr1+PixcvwtraGjt27MCrr75q1Mcw1FyStNBOmjRpQH8zc6PumzXQwKopIe4FRFiAe8I9YsQIVFdXG5yvXlFRwbYWX716VeO96erqqlEC0/YuWy6XIysri5MzLADYjsCoqCiMHTsWnZ2dGrY4o0aNemBmRaFQYOPGjSguLmYdyocTg05I2tvbkZWVhccff1ynn0vKIzY2NgOa+ZFW4MbGRkyfPh2Ojo56vdibm5uRn5+PiRMnDpieaE7q6uoQFxeHgoIC2NnZ4bvvvsOqVatM+pi6mksKhUIUFhb2W5KxFOS8BgDCwsIs5k3VE5JYeOfOHTQ3N8PKysqoDRFtbW24ePEizp49i4sXL6K1tZX92siRI/HII4+wJbDJkyf3+jNkMhmysrIwduzYB84luUBlZSUqKyvZ7s2ekDtuIiy7d+/GiBEjMGLECNy5cwe//fabSayDuA7nhGSguF2xWIzff/9dqxhcAjlsdHV1RVBQUL8vXnKoLpFIUFZWplHzd3d379eYT52amhqUlJToVFYwBzdv3kRcXBwEAgHGjx+PxMREzJ071+zr6OrqQlNTExoaGh4wl2xvb0d5eTmCg4M5d2VHJsJJSYYrd5gE9cRFkgZJDpPHjh1rtOl6hUKB33//nS2BlZWVaXx95syZrKhERUXBxsaGFREHB4cB34eWgISgRUZGahVRwTAMrl69io8++giZmZkQi8WIiopCbGws1q9f36eYDkUGnZB0dnbi0qVLWLJkiVZvhIEO1dXpaXdibW39QM3fysqqX+NDMrhUV1eH0NBQTh22paen45lnnoFIJMLkyZNx+vRprf2sTIm6uWRDQwNUKhXc3Nzg4+Ojda+/OZBKpazrAtcmwoH+89W7u7vZq+jm5mbY2NhoTNcb+hyXlZWxonLt2rUHSmCLFy+Gv78/oqOjOTcICdwT4IqKCq1FBLh3B/jqq68iLS0N6enpsLOzQ0pKCk6fPo3NmzcbNV6B6ww6IZHL5UhLS8OiRYv67XUnh+pk+nmgVltthgyJMR/Z8JRKpcaAHnDPC0wqlSI8PJxTA0iHDx/Gpk2boFAoEBkZieTkZE4dBpIDzubmZvj6+rLTydqaS5oakUiE7OxseHp6GtXC3Rio56v3VZJRp+d0vVwu15iuN/S8p6WlRaME1t7ezn7N1tYWPB6PbfDgAtXV1SgvL9epO0ulUuGtt97CqVOnkJGRwYkLMkvCOSEZKG6XpBdGR0f3+YJXKBQoKChgw2YGaslkGIYVL23nQ3ob0LO2tsaoUaMQGhpqVjfS/mAYBrt27cKuXbsAACtWrMCBAwc40zkG3Hd6JX5jpJZPJr/Jc9yXuaSpIaVRY1j7Gxv19mN98tXVz64aGxvR0dGhVwxuX3R0dODgwYPIy8vDjRs3UFFRgaeffho//PCD3j/TmNTU1KCsrAzh4eFaz/+oVCq88847+OWXX5CRkaGVuehQZ9AJCcMwuHDhgkZ6oTrEv0rbQ3X1QUN9O7NIBC/Z2EQiEcaNG8fOUlhqAlsul2Pz5s348ccfAQCbN2/G7t27OVWSkcvlGkmQ/d1x9DSXHDNmDPscG1rz74umpibk5+fD399f56AtU6Oer26s9mP1GNzm5mbY2tqywq2r11pnZycyMzPZ1m3gXjckwzAmM13VhZqaGpSWliIiIkJrEWEYBu+//z4OHDiA9PR0BAYGmnaRg4RBJyTA/fTCnrfwbW1tyM7Ohru7+4A1bGNMqgP3u4umTZuGyZMnw8rKCl1dXexVNHHTJYf1ppj67o329nY8++yzyMjIgLW1NT788EO88sorJn9cXSDxyaSDR5c6vXrNv6mpCSNHjtR7w+sL4psVFBTEuU4cEj8rFosRERFhEosa9en6pqYmKJVKjRJYf6IvlUqRlZUFd3d3zpUCgXvO0SUlJQgPD9f6HJNhGHzwwQf4+uuvkZaWhpCQEBOvcvDAOSHpL7edkJ6ejrCwMI0XgEAgQGFhIfz9/dkNvb/H6Hmors86KysrcefOnX67i+RyOdud1NzcjFGjRrGiYmj0bV9UV1cjLi4Ot27dgr29PRISEhAbG2v0xzEEcubg4eGBGTNmGPQ8qFQqtLS0sOJN7ETIhqePb1R1dTXKysowa9YsuLq66r02U0DmocjUtTnsYnrLsOmrfVsikSArKwuenp7w9/fnnIgIBAIUFxdrBOYNBMMw+Oyzz/Dpp58iNTXVaF5/Q4VBKSS//fYbAgMD4erqyjpzVlVVaX2orlKpoFQq9S5lqR8Mh4WFad3loVQq2avoxsZG2NjYsB1gxrqKzs3NxapVqyAUCuHi4oLjx48jIiLC4J9rTFpaWpCXl4cpU6YM2EmnK+p2Ig0NDTqbS6r7oelSNzcXXMlX7+rq0jCYtLe3Z0uMJSUlFk2r7I+6ujrcunVLZxH58ssv8cEHH+D8+fOYM2eOiVc5+BiUQnLt2jX4+vrCxcUFBQUFEIlEWvkcGcP+vbu7m01vCwsL07ukQDpnera8kg4wfdoxa2trER4eDolEAl9fX5w6dYpzvez19fUoLCw023yNVCpl71QGMpckB9dCoXBA5wNLwNV8dRIsJRAI0NjYCGtra/au29LZ6uoQ121d3JkZhsE333yD9957DykpKZg/f76JVzk44ZyQAPdz2/vixo0bcHd3h0AgwMiRI7VygyXnIYaIiEQiQW5uLsaMGWNU80CGYdDe3s5eRXd1dbEtr25ublpfdTY3N+O1115DbW0tEhMTOXc1fffuXVRUVFisXNSbuSQRb0dHR9y6dQttbW2IiIjgVOs2cN+bys7OjpODkCKRCFlZWZgwYQJcXV3Z55lkq5u7064n5CxTl9cewzBISEjA//zP/+D06dN62TINFwalkFy/fh0ikQje3t4IDAwc8FDdGBkiLS0tyM/Ph7e3t0nrvqQdk9ypkJZXIip93QGR2NmAgAC4u7tzxrYDuB8MJBAIEB4ezglb7Z6DpgqFAjY2Npg+fTo8PT05tVGTiXByAcOlrjvgvogQTzR1pFIpe1hPOu2IqJjqjLAnDQ0NKCgowKxZs7SObmAYBocPH8a2bdtw8uTJYTVcqA+cFBK5XI6+llVbW4ubN2/Czc0N4eHhJj9UB+4dzt26dQszZswwu+9TZ2cnKyrqpRnSAUaG0aqrqzkZO6vukBseHs6Z+RoCycNQKpUYP348G3iki7mkKeFyvjpwr/U9KytLI+ukL9St2puammBtbc02ROhbzh0IfUXk559/xpYtW5CYmIglS5YYfV1DjUEjJMR6pLq6Gk5OThg3bly/g0DGOFQn0/E1NTWc2KRJaYZ0gNnb28Pa2hpyuZyTNX2FQoG8vDx0d3db1CG3L3rzzeptQK8/c0lTIpFINCz0uXZwTYLhSOu7LhCXCPI8k7RC8jwb47VCbPRDQkJ08mxLSkrCyy+/jKNHj3Ku25GrDAohUSgUyM/PZ3vmq6qqYG1t3edQkzEO1Umsq0gk4uSVNBm8lMlkYBiGnaNwd3c3OJbVGMhkMuTk5GDkyJEIDQ3lzIErgVzpOzk59Wsg2J+5pClLM2KxGFlZWfDy8uJkCy2Z9vf19TU4LlpdvJuamtg7byIq+kzXk0HSoKAgnWz0T58+jRdeeAGHDx9GXFycrr/KsIWTQqIet0ve8HZ2dggNDYWtrS1KSkqgUCgQFBT0wPca41BdJpNpTFtzKdYVuC8i9vb2bM1cfY6CYRgNY0lz1/slEglycnIG3KQtBQnLcnd312mGRd1cUr00YyzjQwJxSpg0aRLnLFmAezkxOTk5Jpv2J7NXpCmCXCS5urr2apTaE5IKOXPmTJ0GSc+dO4f169dj//79eOqppwz9NYYVnBYS8oL19PTUSMerqKiARCLBrFmz2O8x1qG6SCRCTk4OnJ2dOVuTzsnJYTfB3tyHibGkuiGfuUwP29vbkZOTY/KmBH0hV9KGhmWpG3ga01yShHnpUy4yBy0tLcjNzTVbToxSqdQwmFQoFBrT9T0v8oiIBAYGwsvLS+vHSUtLw9q1a/H1119j3bp1nHvdch3OCklVVRV7wN3z1rmyshKtra3sdGnPQ3V9RaSxsREFBQXswSHXXkxkfep2LP2hbnrY0NAAiUQCZ2dntgPM2GcWpJzg6+vLyU2QrM/Pz8/gcow6vZlL6uO1pk2+uiUh65sxYwZ8fHzM/vjqz3NTU9MD4WhdXV16icjly5fx5JNPYs+ePXjhhRc4974fDHBSSAoLC1FZWYmwsLBee76rq6tRX1+P2bNnG+U8hGEYNo9A15qquSCWHbrerqtDhvMaGhpYl1fSAWbo3ATpbOOiLxVwfxBy5syZOm0y+qCPuSS5SNB1EzQXREQCAgI4E9RGzq9ICYxhGLi4uGDKlClanxNeu3YNq1atQnx8PP7rv/6LioiecFJIamtrYW9v3+cBd11dHe7evYu5c+caLCIqlYq14Q4LC+PEjIM6pHOstrbWqEFZMpmM7QBraWlhNzt3d3edDjeJ51hlZSVmzZrFqYwTAhHhkJAQrVtAjYU25pJE5HTtLjIXXBe51tZWZGdnw8fHh7UhUvdbc3Fx6bXU+Mcff4DP52PHjh3YvHkzFRED4KSQDJTb3tDQgNLSUjz00EMG253k5+dDLpcjLCzMYlO3faFUKlFYWIiOjg6Tdo6RzY60FRPrcNIB1tdzy3VLEYZhcOfOHdy9e5cTvlnEXJLcrSiVSowePRoikQghISGcvBMmLbRcvdMkjt/q5UB1v7XGxkZIJBJ2ul6hUGDatGnIzs7GihUr8M477+D111+3mIjs3r0bSUlJKC4uhr29PebPn48PP/wQM2bMsMh69IWTQtJfSiLDMGhpaUF2djYmT54MDw+PAT22ekMqlSI3N5ftfOJaeyrxVWIYRisLGGNBrMNJvb+vaGEicsTnjGsiTOaO6uvrOStyZC7Kzs7ugTkKU9jC6woZ5gsODuakyJE5Fj8/v367x0ipsaqqCitWrICnpye6urqwatUq/Oc//7Hoe3/p0qVYu3YtZs+eDYVCge3bt6OgoABFRUWcGznoj0ElJOpDhvX19WxZxt7eHu7u7qyoDHR10dbWhtzcXDY2lWudWVKpFDk5OXrldBiT3jqTyBSyQCAwu8hpi0qlQlFREWd9s4AH89WJlYi6gwERcHNl2KgjFApx8+ZNzpbbiIjoOsdy/fp1vP766wDu5bSPGDECsbGx2LlzJyfKdo2NjXB3d8elS5cGlbfXoBES9UN1KysrdvNXKBRsWaapqQm2trasqPQ2MEbCiqZPn865xDvgfvusl5cXpwKBSB6FQCBAbW0tVCoVXFxc4OHhYXEbEXVIVkdnZyciIiI4N01PzrwEAkGfd0o9M2zUzSX7KzUaC+KSa4kzJW0gtiy6tkiXlJQgJiYGGzduxM6dO6FUKnHt2jWcOnUK7777rl6VDWNTXl4Of39/9k5wsMBJIemZkqhtZxYx4iNX0DY2NqyoODk54c6dO6iqqkJISAjnwoqAe6WEmzdvGr091ViIxWJ2xmbSpEnsZkfaMMlhvaXKXMTiX6VSWTSroy/0yVfvaS4JgC1/mcKfiuR1cDHQC7hvEEmybLSlvLwcMTExWLt2LeLj4zlXhQDuvT54PB5aW1vx22+/WXo5OsF5IdG3vZccbAqFQvZg08rKCtOnT4e3tzfnXkhVVVUoLy/vN23RkpBy4IQJE+Dr66vxdyAhRw0NDRaLFiY267a2tggNDeWUey9gnHx1MmxKRKWrq0tjLsjQu0KSHKhLXoc5ISIyefJkTJ06Vevvq6ysxNKlS8Hj8bBnzx7OvfcJmzZtwpkzZ3DlyhVOzhH1B2eFhPhtqVQqMAyj95ChXC5n3V2dnJzQ1NSkYSHi4uJi0RcWOXStq6vjjMV6T8idkjaWGN3d3RrGkiRa2M3NDU5OTiYRFZL97ujoyElLFlPkqxvbXJJkmOuSHGhOxGIxMjMzdRaR6upqLF26FEuWLMFXX33FudcGYcuWLTh+/DguX76s0+/HFTgpJEqlEjKZjPXb0ldESCmGeD4Rd9f29nYIhUI0NDSgu7ubFRVXV1ezXskSY0ixWIzw8HBOHgrX1NSgtLRUr0HNnqVG9eQ8Y0ULE98sNzc3TjrkKpVK5OfnQyaTmTRfncwFkeE8Yi6pjYCTv3F4eLjR5pSMCTGwJHfD2lJXV4clS5ZgwYIF+Pbbbzl3lwrcuyDYsmULkpOTkZGR0a+jOZfhpJC8+eabEAgE4PF4WLhwoV5XcE1NTSgoKOjXU4n0m5Np766uLri6urJX0KZsC5TL5WxsKheNIdWzy8PCwgzeYNSjhUmpkWx0+go4aUyYOHGiQb5ZpsJS+erEXJIIS3/mktXV1SgvL+fEnE1vSCQSZGZmshnw2iIUChETE4OoqCgcOHCAkyICAK+88gqOHDmCEydOaMyOODk5ca6lvj84KSR//PEHfvzxRyQnJ6O9vR0xMTHg8XhYvHixVlft1dXVKC0t1ckOg5QKyJ2KRCLRiLs15kZP3HFJKYZrL3KVSoXi4mI0NTUhIiLC6N0svQm4rtHCxLKDq40JXMlX789csrOzkzPDmr2hLiI9z+X6o6mpCcuWLcPMmTNx5MgRzs2IqdPX77R//348//zz5l2MAXBSSAgqlQp//PEHjh07huTkZAiFQjzxxBPg8/lYunTpAxsc6Yqpr69HWFiYQW8O9bhbkUjExt26u7sb1FJKDq3JFRYXr6ILCgoglUqNVs/vj76ihUm5sbfHJzMO5vDN0geu5qurmx7W1tZCJpPBwcEB3t7eFs1T7w2pVIrMzEx4eXnp9D5paWnB8uXLMW3aNBw9epRzd/pDFU4LiToqlQo5OTk4duwYkpKSUF1djYULF4LP52PZsmVQKpXYtm0b1q1bh3nz5hn1vKFn3K2+ra5CoRCFhYUmy3EwFBI7S66iLdE+S6aQGxoa0NbW9kC0MKnnc3XGgev56gBY25igoCD2+dbWXNIcSKVSZGVlwd3dXadZqra2NnZyPSkpiXMzREOZQSMk6jAMg5s3b7KiUlJSwt6uHzp0SKfbYF2RyWSsqLS2trIbnYeHR5/ixTAM7t69i9u3b3N2AyRhWWPGjLHoNL066tHCLS0tsLGxgUKhQEBAAHx8fDh3N8f1fHUA7LlXZGSkxjCkNuaS5qCzsxOZmZk6i0hHRwf4fD4cHR1x8uRJTljMDCcGpZCoc+PGDcTGxmLatGlQKBQoKCjAggULwOPxsGLFCri5uZlswyEbnVAo1HDQ9fDwYOcn1N2Fw8PD4ejoaJK1GAIJ8+Jq5xMpWdbV1cHJyQnt7e0YMWIEp6KFuZ6vTponqqurHxCRnvRmLkmcdF1dXU125kCE2NXVVafkSrFYjFWrVsHW1hanT5/mZPfjUGdQC0l+fj7mz5+Pf//739i6dSuAe+mJiYmJSEpKQnZ2NubPnw8ej4eVK1fCy8vLZG9wckUnFArZ+Qk3Nze0t7dDLpdz0tgQuFdTzsvLY/vzubYBqlQq3Lp1Cy0tLYiMjMTo0aPZja5ntLCppr0HgrSnent7c/Lci2EYVFRUoLa2FpGRkTo1T6g76TY0NEAqlZrEXLKrqwuZmZlwcXHRSYilUinWrFkDlUqFs2fPcsLmZDgyqIVEpVIhMzMTc+bMeeBrJKyKiMqNGzcwZ84crFy5EjweDxMnTjTZG16hUKC+vh5lZWVQKBQYNWoUPDw84O7ubrKhPH0gh9akVMQ1tDn4J3NBpNxoqWhhruarMwyDsrIy1NXVISoqymBHWVOYSxIRcXZ2RmBgoNY/o6urC08//TTEYjHOnz/Pybv94cKgFhJtYRgGAoEASUlJSEpKwpUrVxAWFgY+nw8ej2f0DYAMQo4fPx4zZsxAW1sba9VC/L8sXZIhlixcPbNRKBTIzc3VyTerr2hhstEZ+/CV6/nqxDVBKBRq7e2lC/2ZSzo5OWn12pbJZMjMzGTPlbR9H8pkMqxbtw6NjY24cOECJwcphxPDQkjUYRgGQqEQx48fR1JSEjIyMjBz5kxWVAx13CWlookTJz5w6E+G8sisCgBWVNSzPkyJeuKioS3SpsJYvlkkWrixsRHt7e1GjRbmer46OVdqbGxkS4KmpGeODQB2uLevciPpcCPzVNq+7+RyOZ577jlUVVUhNTWVk75gw41hJyTqkJCsEydOIDExEb/++iv8/f3B4/HA5/MRGBio0+ZOLOq1KRUxDMNOejc0NLCT3v298QyF5HS0trYiIiKCk8E5xDfLwcEBwcHBRhNXY0ULA/cDn7g6x8IwDDtQGhUVZfazOfVyY1/mknK5HJmZmezfWdvnX6FQYOPGjSguLkZ6ejon76aHI8NaSNQhL/5Tp04hMTERFy5cwMSJE7Fy5UrExcVh1qxZfW5qhuaW91bnJ1dzxuqSUSgUrOdTeHg4J9sjzeWb1Vurq3q5sb/HJVkdXHVpZhhGoznB0g0evZlLOjg4oKurCw4ODggLC9P6YkGhUODll19Gbm4u0tPTORn9O1yhQtIHIpEIZ86cQWJiIlJSUuDu7s6KSmRkJPvil8lkKC4uRnt7O8LDww2OdCUBUkRUOjs7dbYP6QlxQLaxsUFoaCjncjqA+4fWvdnUm5K+ooVJB5j6Jkcccrma1UGs6tva2hAZGcnJiwXSas4wDBQKBezt7bUyl1Qqldi8eTOuXbuGjIwMTjaHDGeokGiBRCLBuXPnkJiYiDNnzsDJyQkrV67E4sWLsWvXLvj7++OLL74wyRuXHB4LhUL28JhcPWtj/yCVSlmLdWOWiowJOW/w9fW16KE18aUiJTASLezu7o6uri7cuXPHKAaWpoCULTs6OsxibaMP3d3dyMrKgr29PUJCQqBSqbQyl1SpVHj11VeRlpaG9PR0i75GLl++jPj4eGRlZaGurg7Jycng8/kWWw9XoEKiI52dnbh48SIOHTqEU6dOwdvbG48//jjWrFmD+fPnm9QgjhweC4VCiEQijBs3jo267W3j6OjoQE5ODptNz7XWVOC+bUxAQAC8vb0tvRwW9TvD2tpayOVyODk5wdvbW2sRNxfqeSeRkZGctAbp7u7W8B/reUHTU8Tlcjl++OEHzJ8/H2VlZTh37hwyMjIwbdo0C/0G90hJScHVq1cRERGB1atXUyH5f6iQ6EFBQQGWLVuGhQsXYs2aNThx4gSOHz8OKysrxMbGgs/nY8GCBSbdbLq6ulhRIR1JZFbF3t6evconralcFBFSKuLyeQPJVw8MDGRr/SREytLRwsC9DZjM2kRGRnJK4AhEREgX3kB3xQzDoLm5GR988AHOnj2LqqoqzJ07F2vXrgWPx9MpYteUWFlZUSH5f6iQ6MFTTz2FkJAQvPPOO+wGrVAocPnyZfzyyy84fvw4ZDIZYmNjwePx8Pjjj5v0KpF0JAmFQrS2tsLOzg4ymQx+fn6cedP1pLKyEnfu3EFoaCgnE/n6y1fnQrQwcF9EOjs7TRqaZQgKhQLZ2dkYOXKkViJCYBgG//rXv3Dw4EEcOXIERUVFOHHiBC5duoTU1FQ88sgjJl75wFAhuQ8VEj1QKBT9lrCUSiWuXr3K2t+LRCIsXboUfD4fixYtMmlPf0VFBe7cuQMHBweIRCKMHj2avVPRtc3VFKjPsURERHByGlmXfHUSLUw6wOzs7FhRMaWLgUqlQl5eHmQyGSIjIznZQKFQKDSaPLRtaWcYBrt378a+ffuQnp6O4OBg9mttbW0YM2YMJ35fKiT3oUJiYlQqFW7cuMGKSmNjI5upsmTJEqN5A5EpZpLF4uTkBIVCwV45k02OiIqjo6PZRUXdN4urcyyG5KubI1qYPE5+fj7r4caFTbUnSqUS2dnZsLa2RlhYmE4i8umnn+Lzzz9HamoqwsLCTLtQA6BCch8qJGZEpVIhOzubtb+vqanBokWLwOPxsGzZMr03d5VKhcLCQrS3tyMiIqLXOx6lUsnaWTQ2Nuo0O2EMSD69RCLhbFeRMfPViYsBEXLioEtmg/QdOFUqlcjLy4NCoTBrfK8uKJVK5OTkAADCw8N1EpH//Oc/+Oijj3D+/HnMnj3blMs0GCok96FCYiHIlS8RlbKyMixcuBArV65EbGwsxo8fr9XmrlAokJeXh+7ubq03P9J2qT47YYor555rVCqVCAsL42wtn6zR2Bt0f9HCrq6uWj8fJAOe+I9xMUKWrJFhGJ1FZN++fXj//feRkpKCefPmmXilhkOF5D5USDgAsbQgolJYWIgFCxaAz+djxYoVcHV17VVUZDIZcnJyYGtri1mzZum1sZArZ7LJEUt2YtViqKiQYcgRI0YgNDSUk5sfSYYkZRhTr1HdWFIsFmPcuHGskPd1p0ZMLMkGzcXnUV+hYxgG+/fvx9tvv43Tp09jwYIFJl6p/ojFYpSXlwO4d7f16aefIjo6Gs7Ozpg0aZKFV2c5qJBwDJIdQUQlJycH8+fPB5/Px8qVK+Hp6QkrKysUFBSgtrYWEyZMMFoaH8MwaGtrYzc5hUIBV1dXeHh46OX/1dXVhezsbIwdO5azw5CWzlcfKFoYuH9oret5gzlRqVTIzc2FQqFARESETiJy+PBhbNu2DSdPnkR0dLSJV2oYGRkZva5xw4YNSEhIMP+COAIVEg5DInrVM1Xmzp2LOXPm4Pvvv8frr7+ON954wyTnG+rlGKFQCJlMxoqKNv5fJDHQxcVFp4wJc0LcZ7kidD2jhe3t7eHi4oLm5mbY2trqVCoyJ6SDjJRXdRGRn3/+GVu2bEFiYiKWLFli4pVSTAUVkkECwzCora3Fjh078P3338Pf3x8ODg6s/f2UKVNMtlmr53wIhUJ0dnbC2dmZnarveZ7Q0dGB7Oxs+Pj4cDIxEOB+vrpCoYBQKERpaSmUSiVsbW05kWPTE5VKpdGgoMvZUlJSEl5++WUcPXoUsbGxJlwlxdRQIRlE/PDDD9iyZQv279+PBQsWIDk5mc1UCQ4OZu3v/f39Tbp5SyQSVlTEYjHGjx/PiopEIkFeXh6mTp3K2WFIcrfk5uamUza4OSG+VHZ2dggJCWFLjiRaeKCsD3OgPhCp6yzLqVOnsHHjRhw+fBhxcXEmXCXFHFAhGSQwDIOtW7di1apVeOyxxzQ+39zczGaqpKamYvr06axTsanLSp2dnWxQV3t7OwDAw8MD06dP52SLr0gkQnZ2Nmfz1YH75zajRo16wJeqZ+QAKTmaK1qYYIiIpKSk4LnnnsP+/fvx1FNPmXCVFHNBhWQIQTaZkydPspkqkyZNAo/HQ1xcHEJCQkxWEqmtrUVxcTG8vLwglUrR1tZm1ERCY8D1fHXgnohkZWVh9OjRA/69eosWHj9+PPucm8qWh7SuSyQSnf29UlNT8cwzz2Dfvn149tlnOfk3oOjOoBCSyspK7NixA2lpaaivr4e3tzf+8pe/YPv27ZycSeAKHR0dbKbKuXPn4O7uzpa/1DNVDKU33yy5XM5ucC0tLRp+VMaa5tcFruerA4Yf/nd2drLPubGjhQkMw+DmzZsQiUSIiorS6f13+fJlPPnkk/jiiy/w/PPPUxEZQgwKITl37hyOHj2KZ555Bn5+frh58yZeeuklrF+/Hh9//LGllzcokEgkSElJQWJiIs6ePYtx48Zh5cqV4PF4mDt3rl51dm19s4gfVUNDA5qbm2Fvbw93d3d4eHiYxf+L6/nqwH0RcXBwQFBQkMEi31u0MJkPcnBw0Os5ZxgGhYWF6Ojo0Nmu/urVq1i9ejU+/vhjvPTSS1REhhiDQkh6Iz4+Hnv37sXt27ctvZRBR2dnJy5cuICkpCScOnUKo0aNwooVKxAXF6d1pgqJdG1ubtbJN0uhULBWLU1NTWw3koeHh0n8v7ierw7cm7fJysqCk5MTgoKCjP4c9HzO9bHHUU9fjIqK0klE/vjjD/B4POzcuRObNm2iIjIEGbRC8s477+DcuXPIzMy09FIGNXK5HL/++iuSkpJw4sQJNlMlLi4OCxYs6PUQlRy0Guqb1dPk0MbGRsOqxdANp66uDrdu3eJs3glwT0QyMzMxfvx4zJw50yyeZ+rRwgAGdDIgFw3EDVmXv3d2djZWrFiBf/zjH3jttdeoiAxRBqWQVFRUICIiAp988gn++te/Wno5Q4bu7m42U+XEiROQy+VYvnw5+Hw+oqOjYWdnh7a2NiQmJiI4OBjh4eFGO6NSqVTsBtfQ0MBmp3t4eOjl/1VTU4PS0lKEhobCxcXFKGs0NmSWxdnZ2SJDmz2dDNSjhcnQKRGRlpYWREVF6SQi+fn5WLZsGd5880289dZbVESGMBYVkvfeew//+te/+v0/f/75J6Kioth/CwQCPProo3j00Ufx3XffmXqJwxalUokrV67g2LFjOH78OEQiERYtWoT8/Hw4Ozvj/PnzJms1JbGrZFZFpVKxoqKe5d0Xd+/exe3btzmbrw7ci03OysrizCyLerRwQ0MDpFIpnJ2doVQq0dXVhdmzZ+skIkVFRYiJicHmzZvxz3/+0+K/H8W0WFRImpqa0NTU1O//mTJlCvsCFggEiI6Oxty5c5GQkMCZ6d6hjkqlYgfI7OzsIJVKWft7Y2aq9AZpaSazKuSqmVi1qIsKwzC4c+cOqqqqEB4eDicnJ5OtyxCkUikyMzPZeRsubrISiYQ9WGcYRsNYcqBo4ZKSEsTExGDjxo3YuXMnJ38/inEZNKWt2tpaREdHIzIyEocPH+ak59BQpbS0FE888QQWLVqEvXv3Ijc3lw3qqqmpweLFi8Hj8RATE2PSzZtcNRNR6erq0ijFVFZWQiAQICIiAg4ODiZbhyFIJBJkZWXB09PT5A4E+kJC0hoaGhAVFQUrK6sHooXJuUrPrrvy8nLExMTgmWeewUcffcSJi72vvvoK8fHxqKurQ1BQED7//HNORPUOJQaFkJBy1qRJk3Dw4EENEfH09LTgyoYH169fx5kzZ/D+++9rbBrEZ4mYSlZUVODxxx8Hj8fD8uXLjXJg3hcMw0AikbCiIhaLYW1tjalTp2LChAmcnC8Si8XIysri9FQ9wzAoKytDfX09oqKiHpg/6e7u1ugAs7Ozw+3bt+Hl5YVp06Zh+fLl4PF42LNnDydE5OjRo1i/fj2++uorPPzww9i3bx++++47FBUVDWvbd2MzKIQkISEBL7zwQq9fGwTLHxaQQ1lif19UVIRHH30UfD4fsbGxfWaqGONxi4qK0NzcDE9PT7S2tkIkEpllwlsXiIj4+PjA19eXsyJSXl6Ouro6REZGDtjSTbrudu3ahZ9++gkqlQqTJk3CJ598goULF3JCzOfOnYuIiAjs3buX/VxgYCD4fD52795twZUNLQaFkFiSnTt34syZM8jNzYWtrS3a2tosvSTOQzYkIiq5ubl4+OGHwePxNDJVDKWvfPWeE95OTk5a1/dNgUgkQlZWFiZOnAhfX1+zP742kByc2tpaREVFaT0XBNxrs166dCkCAgIwefJknDhxAiKRCG+//TbefPNNE666f+RyOUaPHo1ffvlFwxhy69atyM3NxaVLlyy2tqEGFZIBePfddzFu3DjU1NTg+++/p0KiIwzDoLKyEomJiUhOTsaNGzfw0EMPsVP1EyZM0EtUtM1Xl8lkrKi0trb2GhxlSoil/uTJkzF16lSTP56+VFRUoKamRmcRqa+vR0xMDObMmYOEhATY2NiAYRhkZmZCqVTioYceMuGq+0cgEMDHxwdXr17F/Pnz2c/v2rULBw4cQElJicXWNtSgQqIlCQkJePXVV6mQGADDMKipqUFSUhKSkpJw9epVREZGgsfj6ZSpom++unpwVHNzM8aMGcNO1Y8ZM8bo5ab29nZkZ2dz2lIfAG7fvo2qqipERUXp1IHX2NiIZcuWITg4GD/++CPn4n+JkFy7dk0jA37nzp04dOgQiouLLbi6oQW3/vKUIY2VlRUmTpyIrVu34u9//zvq6+vZTJV3330XISEhrKj01dFE8tVtbGx0SuMDAFtbW/j4+MDHx0fj0LiyshKjRo1iRUVfLyp1iIhw2SQSANsuHRkZqZOINDc3Y8WKFZg+fToOHz7MOREBwLaH19fXa3y+oaEBHh4eFlrV0MTybRWUYYmVlRW8vLzwyiuv4OLFi6irq8OmTZtw/fp1zJ07Fw899BB27dqFoqIitqFCIBDg+PHjGDlyJMLCwgzavEaOHAkvLy+Ehobiscceg5+fHzo7O5GZmYkrV66gpKQEbW1tejVztLW1ITs7G76+vpwWkcrKSty9exeRkZE6tUu3tbWBx+Nh0qRJOHr0qNkyUHTF1tYWkZGRuHjxosbnL168qFHqohjOsCxt6TNRT0tb5oHYdpBMlYsXL2Ly5Ml44okncPz4ccydOxf79+83WWsp8aISCoUP+H9pE3Hb2tqKnJwc+Pv7Y+LEiSZZozEg0/+RkZF9ujb3RkdHB3g8HsaNG4cTJ05wMrxMHdL++/XXX2PevHn45ptv8O2336KwsJDTIj/YGJZCoutEPUCFxFJ0dHRg//792L59O5ydnTFy5Eg2/TEiIsKkswoqlQqtra2sqDAMw4qKs7PzA4/d0tKC3NxcTtvVA0BVVRUqKip0FhGxWIxVq1bB1tYWZ86csUgHnD589dVX+Oijj1BXV4fg4GB89tlnWLBggaWXNaQYlkKiD1RILENpaSkWLlwIPp+PnTt34vz582ymyvjx47Fy5Urw+XzMmTPHpG4HDMOgtbWV7QBTKpUarrltbW3Iy8tDQEAAvL29TbYOQ6murkZ5eTkiIiJ0ciGQSqVYvXo1GIbB2bNnLRJOxlUOHjyI1157DQKBQGNmafXq1RgzZgwOHjxowdWZByokA1BVVYWWlhacPHkS8fHx+O233wAAfn5+9M1kBg4cOIDi4mLs2rVL4wC8s7MT58+fZzNVRo8ejRUrVoDP52udqaIvDMOgo6ODnaqXyWRgGAYTJkyAn58fJw+egXuOyGVlZQgPD8e4ceO0/r7Ozk48/fTTkEqlOHfunE53McOBzs5OeHl54dtvv8WTTz4J4F7Vw8fHB+fOnUN0dLSFV2h6qJAMwPPPP48DBw488Pn09HQ89thj5l8Q5QG6urqQmprKZqpYW1uzQV2PPPKISQ+DSXCWi4sLpFIpOjs74eLiAnd3d7i5uXHmIJrY6kdEROgkIjKZDM8++yyamppw8eJFnb53OPHKK6+gsrISZ8+eBQDs2bMHX3zxBcrLyznpYmBsqJBwBGosZxy6u7tx6dIl1v6+u7sbsbGx4PF4bKaKsWhsbER+fj6Cg4PZdlKxWMyWv8RiMZydndlzFUtZhtTW1qKkpATh4eE62erL5XKsX78eNTU1+PXXXzmb68IFcnJyMHv2bNy9exc+Pj4ICwvD6tWr8Y9//MPSSzMLVEg4ADWWMw0KhUIjU0UsFmPZsmXg8XhYtGiRQYfF5E5EXUR6IpVKWVHp6OjQsGI3V7eTQCBAcXExwsLC4OzsrPX3dXd3Y+PGjSgtLUVaWhrc3NxMuMqhQWRkJNasWYMlS5Zg9uzZqKys5HTnnjGhQsIBqLGc6VEqlbh+/TorKk1NTViyZAn4fD6WLFmiky2IUCjEzZs3ERISonWEb1dXFxvU1d7eDkdHR3YA0lTdTyRqWNeUSIVCgZdffhl5eXlIS0ujDttasnfvXnz22Wd44oknUFZWhvPnz1t6SWaDComFocZy5kelUiEzM5PNVBEIBFi0aBH4fD5iYmL6PUyur69HUVERQkJC9L5Kl8lkaGxshFAoZPM9PDw8jOr/Rdapq4golUp2MDQjI4PTHWhco6OjA15eXlAoFDh48CCefvppSy/JbFAhsTDUWM6yqFQq5OXlsZkqt2/fxsKFC9lMlXHjxrGHpcXFxRAIBJg1axZcXV2N8vjd3d2sqDQ3N2P06NGsqPQMjdIWcscUGhqq0zpVKhW2bt2KjIwMpKen07KqHjz33HM4c+bMA63AQx1u9ikOQ3puGAzDDItuD0tjbW2N8PBwhIeHY8eOHSgqKsKxY8fwv//7v9i8eTMee+wx8Hg8NDY24ssvv8Tvv/9uNBEB7lm1eHt7w9vbGwqFAk1NTRAKhaisrISdnR0rKo6Ojlq9HoiI6Cp2KpUKb7zxBn799VdkZGRQEdGTuro6rFu3bliJCECFxOJQYznuYGVlhaCgIAQFBeGf//wnysrKcOzYMcTHx6O2thaPPfYYzpw5g5UrV8LDw8PoQj9ixAh4enrC09OTDY0SCoXIzs7GiBEjNKxaenvshoYGVkR0KbupVCps374dp06dQnp6Oqft7rlKS0sLLly4gLS0NHz55ZeWXo7ZoUJiYdSN5dTPSC5evAgej2fBlQ1vrKysMH36dDg7O6OlpQWHDx9GVVUVfv75Z2zbtg0PPfQQ61Ts4+NjdFFR9/hSqVRobm5GQ0MD8vLyYGVlxX5t/PjxsLa2RmNjIwoKCnQ+u2EYBu+//z5+/vlnpKenw9/f36i/x3AhIiICra2t+PDDDzFjxgxLL8fs0DMSDkCN5bhJZWUlZs+ejRMnTrDnVwzDoLq6GklJSUhOTmYzVfh8Png8HiZPnmzSkiTx/yJtxQzDwMHBAa2trQgKCoKXl5fWP4thGOzevRvffPMN0tLSEBwcbLJ1U4Y2VEg4AjWW4yYdHR19dnExDIO6ujo2U+Xy5csICQlhRcXPz8+kosIwDKqqqlBWVoYRI0aAYRi4urrC3d2dLZn2972ffPIJ9uzZg9TUVISFhZlsnZShDxWSYczly5cRHx+PrKwsdkPk8/mWXtaghGEYNDU14fjx40hMTERaWhoCAgLY8ldgYKDRRaW5uRl5eXkIDAyEp6cnOjo62FkVmUzGioqbm5uG/xfDMPjiiy8QHx+P8+fPY/bs2UZdl7HYuXMnzpw5g9zcXNja2lLDVA5DhWQYk5KSgqtXryIiIgKrV6+mQmIkiFOweqbK1KlTWfv74OBgg+3viWV9YGDgA+UshmFYqxahUAipVApHR0f8+eefWLNmDZKSkrBjxw6kpKRoRNByjXfffRfjxo1DTU0Nvv/+eyokHIYKCQXAvcNlKiSmob29HadPn0ZSUhLOnTsHLy8vVlTCw8N1FhUSnqWtZb1EIkFOTg62bNmCiooKjBo1Cn/729/wxhtvDIrOQBrhwH1o1C6FYmKcnJywbt06JCYmQigUYteuXRAIBFi+fDmCg4Px1ltv4ffff4dSqRzwZxERmTFjhtZT52PGjMHDDz+M1157DZ6enli/fj1+//13+Pj44NFHH0VpaamhvyJlmEPbfykUMzJ27Fg89dRTeOqppyCVStlMlTVr1mD06NFYuXIleDxer5kqbW1tyMnJwfTp0+Hj46P1YzIMg6NHj2Lbtm1ISkrCE088AeCeq0JycjL10qIYDL0joVAsxOjRoxEXF4dDhw6hrq4O+/btg0wmw7p16+Dv74+///3vSEtLQ3d3N9LT07Flyxb4+fnpHOOblJSELVu24OjRo6yIAIC3tzc2bdpk1qCq9957D1ZWVv1+ZGZmmm09FONA70goFA4watQoxMbGIjY2Ft3d3cjIyMCxY8fw4osvQi6XQy6X45lnntH5TOPkyZP429/+hh9//BHLly830eq1Z/PmzVi7dm2//2fKlCnmWQzFaFAhoVA4xsiRI7F48WIsXrwYL774IhYuXIioqCikpKTg2LFjWLZsGfh8PhYuXNivBX1KSgpefPFFJCQkcKaJwtXV1aheZRRuQEtbwxixWIzc3Fzk5uYCAO7cuYPc3FxUVVVZdmEUAMDNmzcRExODd999F5cuXUJVVRVOnz4Nd3d3vPnmm5g6dSo2bNiA5ORkSCQSje9NTU3Fhg0bNHLEBxtVVVXs61GpVLKvVbFYbOmlUXrCUIYt6enpDIAHPjZs2GDppVEYhmltbWUSEhJ6/ZpSqWSuX7/ObNu2jfH19WVGjx7N8Hg85ocffmCOHTvGjBkzhtm/fz+jUqnMvGrjsWHDhl5fn+np6ZZeGqUHdI6EQhnkqFQq5ObmIjExEb/88gvKysoQHx+P//7v/6ZRBBSzQIWEYnZ2796NpKQkFBcXw97eHvPnzx+2rqnGhmEYpKamYuHChVREKGaDCgnF7CxduhRr167F7NmzoVAosH37dhQUFKCoqMhoUbMUCsV8UCGhWJzGxka4u7vj0qVL1PGYQhmE0K4tisVpb28HADg7O1t4JRQKRR/oHQnFojAMAx6Ph9bWVvz222+WXg6FQtEDOpBIsSibN29Gfn4+rly5YumlUCgUPaFCQrEYW7ZswcmTJ3H58mWd/aMoFAp3oEJCMTsMw2DLli1ITk5GRkYGpk6dauklUSgUA6BCQjE7mzZtwpEjR3DixAk4ODigvr4ewL3cjv68oygUCjehh+0Us9PXoNz+/fvx/PPPm3cxFArFYGj77xCgsbERnp6e2LVrF/u5GzduwNbWFhcuXLDgynqHYZheP8wlInv37sWsWbPg6OgIR0dHzJs3DykpKWZ5bAplKELvSIYIZ8+eBZ/Px7Vr1xAQEIDw8HAsX74cn3/+uaWXxjlOnToFGxsb+Pn5AQAOHDiA+Ph45OTkICgoyMKro1AGH1RIhhCbNm3Cr7/+itmzZyMvLw9//vknRo0aZellDQqcnZ0RHx+PF1980dJLGVRUVlZix44dSEtLQ319Pby9vfGXv/wF27dvh62traWXRzET9LB9CPHxxx8jODgYP//8MzIzM6mIaIFSqcQvv/wCiUSCefPmWXo5g47i4mKoVCrs27cPfn5+uHnzJl566SVIJBJ8/PHHll4exUzQO5IhRGFhIaKiotDd3Y3k5GSsWLHC0kviLAUFBZg3bx66urowduxYHDlyBMuWLbP0soYE8fHx2Lt3L27fvm3ppVDMBL0jGSLI5XKsW7cOTz/9NAICAvDiiy+ioKBA54zv4cKMGTOQm5uLtrY2JCYmYsOGDbh06RJmzpxp6aUNetrb26lv2jCD3pEMEd544w0cO3YMeXl5GDt2LKKjo+Hg4IDTp09bemmDgkWLFsHX1xf79u2z9FIGNRUVFYiIiMAnn3yCv/71r5ZeDsVM0PbfIUBGRgY+//xzHDp0CI6OjrC2tsahQ4dw5coV7N2719LLGxQwDAOZTGbpZXCG9957D1ZWVv1+ZGZmanyPQCDA0qVL8eSTT1IRGWbQOxLKsOPtt99GTEwMJk6cCJFIhJ9++gkffPABzp07h8WLF1t6eZygqakJTU1N/f6fKVOmsA0dAoEA0dHRmDt3LhISEmBtTa9RhxP0jIQy7BAKhVi/fj3q6urg5OSEWbNmURHpgaurK1xdXbX6v7W1tYiOjkZkZCT2799PRWQYQu9IKBSK3ggEAjz66KOYNGkSDh48CBsbG/Zrnp6eFlwZxZzQSwcKxYLs3r0bVlZWePXVVy29FL24cOECysvLkZaWhgkTJsDLy4v9oAwfqJBQKBbizz//xDfffINZs2ZZeil68/zzz/fpnUYZPlAhoVAsgFgsxrp16/Dtt99i/Pjxll4OhWIQVEgoFAuwadMmLF++HIsWLbL0UigUg6FdWxSKmfnpp5+QnZ2NP//809JLoVCMAhUSCsWMVFdXY+vWrbhw4QI11aQMGWj7L4ViRo4fP464uDiNNlmlUgkrKytYW1tDJpNpfI1CGQxQIaFQzIhIJMLdu3c1PvfCCy8gICAAb731FoKDgy20MgpFf2hpi0IxIw4ODg+IxZgxY+Di4kJFhDJooV1bFAqFQjEIWtqiUCgUikHQOxIKhUKhGAQVEgqFQqEYBBUSCoVCoRgEFRIKhUKhGAQVEgqFQqEYBBUSCoVCoRgEFRIKhUKhGAQVEgqFQqEYBBUSCoVCoRgEFRIKhUKhGAQVEgqFQqEYxP8BxF2IkrvhLGAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习3.5\n",
    "from math import sin, cos, pi\n",
    "vs = [(sin(pi*t/6), cos(pi*t/6), 1.0/3) for t in range(0, 24)]\n",
    "\n",
    "running_sum = (0, 0, 0)\n",
    "arrows = []\n",
    "for v in vs:\n",
    "    next_sum = add(running_sum, v)\n",
    "    arrows.append(Arrow3D(next_sum, running_sum))\n",
    "    running_sum = next_sum\n",
    "print(running_sum)\n",
    "draw3d(*arrows)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "673e8b0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 练习3.6\n",
    "def scale(scalar, vector):\n",
    "    return tuple(scalar * coord for coord in vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "04a11ab3",
   "metadata": {},
   "outputs": [],
   "source": [
    "def dot(u,v):\n",
    "    return sum([coord1 * coord2 for coord1,coord2 in zip(u,v)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cb2eea5b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def angle_between(v1,v2):\n",
    "    return acos(dot(v1,v2) / (length(v1) * length(v2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b796daf5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def cross(u, v):\n",
    "    ux,uy,uz = u\n",
    "    vx,vy,vz = v\n",
    "    return (uy*vz - uz*vy, uz*vx - ux*vz, ux*vy - uy*vx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1b676ed3",
   "metadata": {},
   "outputs": [],
   "source": [
    "octahedron = [\n",
    "    [(1,0,0), (0,1,0), (0,0,1)],\n",
    "    [(1,0,0), (0,0,-1), (0,1,0)],\n",
    "    [(1,0,0), (0,0,1), (0,-1,0)],\n",
    "    [(1,0,0), (0,-1,0), (0,0,-1)],\n",
    "    [(-1,0,0), (0,0,1), (0,1,0)],\n",
    "    [(-1,0,0), (0,1,0), (0,0,-1)],\n",
    "    [(-1,0,0), (0,-1,0), (0,0,1)],\n",
    "    [(-1,0,0), (0,0,-1), (0,-1,0)],\n",
    "]\n",
    "def vertices(faces):\n",
    "    return list(set([vertex for face in faces for vertex in face]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7e66dfc4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def component(v,direction):\n",
    "    return (dot(v,direction) / length(direction))\n",
    "def vector_to_2d(v):\n",
    "    return (component(v,(1,0,0)), component(v,(0,1,0)))\n",
    "def face_to_2d(face):\n",
    "    return [vector_to_2d(vertex) for vertex in face]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "64be085d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def subtract(v1,v2):\n",
    "    return (v1[0] - v2[0], v1[1] - v2[1], v1[2] - v2[2])\n",
    "\n",
    "from math import sqrt\n",
    "def length(v):\n",
    "    return sqrt(v[0]**2 + v[1]**2 + v[2]**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4f11a20e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "blues = matplotlib.colormaps.get_cmap('Blues')\n",
    "def unit(v):\n",
    "    return scale(1./length(v), v)\n",
    "def normal(face):\n",
    "    return(cross(subtract(face[1], face[0]), subtract(face[2], face[0])))\n",
    "def render(faces, light=(1,2,3), color_map=blues, lines=None):\n",
    "    polygons = []\n",
    "    for face in faces:\n",
    "#         print(face, normal(face), unit(normal(face)), length(normal(face)))\n",
    "        unit_normal = unit(normal(face))\n",
    "#         print(unit_normal)\n",
    "        if unit_normal[2] > 0 :\n",
    "            c = color_map(1 - dot(unit(normal(face)), unit(light)))\n",
    "#             print(dot(unit(normal(face)), unit(light)))\n",
    "            p = Polygon2D(*face_to_2d(face), fill=c, color=lines)\n",
    "            polygons.append(p)\n",
    "    draw2d(*polygons,axes=False, origin=False, grid=None)\n",
    "    \n",
    "render(octahedron, color_map=matplotlib.colormaps.get_cmap('Blues'), lines=black)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e86f6031",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 练习3.27\n",
    "top = (0,0,1)\n",
    "bottom = (0,0,-1)\n",
    "xy_plane = [(1,0,0),(0,1,0),(-1,0,0),(0,-1,0)]\n",
    "edges = [Segment3D(top,p) for p in xy_plane] +\\\n",
    "            [Segment3D(bottom, p) for p in xy_plane] +\\\n",
    "            [Segment3D(xy_plane[i],xy_plane[(i+1)%4 ]) for i in\n",
    "range(0,4)]\n",
    "draw3d(*edges)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
